137607107904 has 280 divisors, whose sum is σ = 467447912448. Its totient is φ = 39209702400.

The previous prime is 137607107893. The next prime is 137607107933. The reversal of 137607107904 is 409701706731.

It is a happy number.

137607107904 is a `hidden beast` number, since 1 + 37 + 607 + 1 + 0 + 7 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×137607107904² (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 self number, because there is not a number n which added to its sum of digits gives 137607107904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13893354 + ... + 13903254.

Almost surely, 2^137607107904 is an apocalyptic number.

137607107904 is a gapful number since it is divisible by the number (14) 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 137607107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233723956224).

137607107904 is an abundant number, since it is smaller than the sum of its proper divisors (329840804544).

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

137607107904 is an equidigital number, since it uses as much as digits as its factorization.

137607107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 137607107904 in words is "one hundred thirty-seven billion, six hundred seven million, one hundred seven thousand, nine hundred four".