137068760520 has 320 divisors, whose sum is σ = 476846092800. Its totient is φ = 35277327360.

The previous prime is 137068760513. The next prime is 137068760579. The reversal of 137068760520 is 25067860731.

137068760520 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 68 + 7 + 60 + 520 = 666.

It is a super-2 number, since 2×137068760520² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42082732 + ... + 42085988.

It is an arithmetic number, because the mean of its divisors is an integer number (1490144040).

Almost surely, 2^137068760520 is an apocalyptic number.

137068760520 is a gapful number since it is divisible by the number (10) 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 137068760520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238423046400).

137068760520 is an abundant number, since it is smaller than the sum of its proper divisors (339777332280).

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

137068760520 is a wasteful number, since it uses less digits than its factorization.

137068760520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 137068760520 in words is "one hundred thirty-seven billion, sixty-eight million, seven hundred sixty thousand, five hundred twenty".