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136125536 = 2529473121
BaseRepresentation
bin10000001110100…
…01110001100000
3100111010220010112
420013101301200
5234322004121
621301350452
73242022311
oct1007216140
9314126115
10136125536
116a926148
1239708428
1322281971
1414116608
15be3d75b
hex81d1c60

136125536 has 48 divisors (see below), whose sum is σ = 283227840. Its totient is φ = 64296960.

The previous prime is 136125533. The next prime is 136125551. The reversal of 136125536 is 635521631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136125533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42056 + ... + 45176.

It is an arithmetic number, because the mean of its divisors is an integer number (5900580).

Almost surely, 2136125536 is an apocalyptic number.

136125536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136125536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141613920).

136125536 is an abundant number, since it is smaller than the sum of its proper divisors (147102304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136125536 is a wasteful number, since it uses less digits than its factorization.

136125536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3199 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 136125536 is about 11667.2848598121. The cubic root of 136125536 is about 514.4144990822.

The spelling of 136125536 in words is "one hundred thirty-six million, one hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 232 376 464 752 928 1363 1504 2726 3121 5452 6242 10904 12484 21808 24968 43616 49936 90509 99872 146687 181018 293374 362036 586748 724072 1173496 1448144 2346992 2896288 4253923 4693984 8507846 17015692 34031384 68062768 136125536