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135031466130 = 235112192323701
BaseRepresentation
bin111110111000010000…
…0001010100010010010
3110220112120112012121020
41331300200022202102
54203021023404010
6142011012540310
712520130344551
oct1756040124222
9426476465536
10135031466130
11522a2819100
1222205921696
13c96c3cc822
14676d7dbd98
1537a4933470
hex1f7080a892

135031466130 has 288 divisors, whose sum is σ = 392080893120. Its totient is φ = 29655648000.

The previous prime is 135031466069. The next prime is 135031466131. The reversal of 135031466130 is 31664130531.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135031466091 and 135031466100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135031466131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36483280 + ... + 36486980.

It is an arithmetic number, because the mean of its divisors is an integer number (1361391990).

Almost surely, 2135031466130 is an apocalyptic number.

135031466130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135031466130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196040446560).

135031466130 is an abundant number, since it is smaller than the sum of its proper divisors (257049426990).

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

135031466130 is a wasteful number, since it uses less digits than its factorization.

135031466130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 135031466130 its reverse (31664130531), we get a palindrome (166695596661).

The spelling of 135031466130 in words is "one hundred thirty-five billion, thirty-one million, four hundred sixty-six thousand, one hundred thirty".