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135544443125 = 547213226189
BaseRepresentation
bin111111000111100010…
…1000001000011110101
3110221212022210010202012
41332033011001003311
54210043334140000
6142133535454005
712535626520400
oct1761705010365
9427768703665
10135544443125
1152536339333
1222329687305
13ca21779500
1467bb9b0d37
1537d49b1735
hex1f8f1410f5

135544443125 has 90 divisors (see below), whose sum is σ = 213359742090. Its totient is φ = 85791888000.

The previous prime is 135544443071. The next prime is 135544443131. The reversal of 135544443125 is 521344445531.

It can be written as a sum of positive squares in 15 ways, for example, as 133998459364 + 1545983761 = 366058^2 + 39319^2 .

It is not a de Polignac number, because 135544443125 - 224 = 135527665909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5162531 + ... + 5188719.

It is an arithmetic number, because the mean of its divisors is an integer number (2370663801).

Almost surely, 2135544443125 is an apocalyptic number.

It is an amenable number.

135544443125 is a deficient number, since it is larger than the sum of its proper divisors (77815298965).

135544443125 is an equidigital number, since it uses as much as digits as its factorization.

135544443125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26249 (or 26214 counting only the distinct ones).

The product of its digits is 576000, while the sum is 41.

Adding to 135544443125 its reverse (521344445531), we get a palindrome (656888888656).

The spelling of 135544443125 in words is "one hundred thirty-five billion, five hundred forty-four million, four hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 125 169 175 245 325 455 625 637 845 875 1183 1225 1625 2275 3185 4225 4375 5915 6125 8125 8281 11375 15925 21125 26189 29575 30625 41405 56875 79625 105625 130945 147875 183323 207025 340457 398125 654725 739375 916615 1035125 1283261 1702285 2383199 3273625 4425941 4583075 5175625 6416305 8511425 11915995 16368125 16682393 22129705 22915375 30981587 32081525 42557125 59579975 83411965 110648525 114576875 154907935 160407625 212785625 216871109 297899875 417059825 553242625 774539675 802038125 1084355545 1489499375 2085299125 2766213125 3872698375 5421777725 10426495625 19363491875 27108888625 135544443125