137814912068904 has 192 divisors, whose sum is σ = 464682046838400. Its totient is φ = 37663702610688.

The previous prime is 137814912068857. The next prime is 137814912068909. The reversal of 137814912068904 is 409860219418731.

137814912068904 is a `hidden beast` number, since 1 + 3 + 7 + 81 + 491 + 2 + 0 + 68 + 9 + 0 + 4 = 666.

137814912068904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137814912068904² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (137814912068909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282823117 + ... + 283309980.

It is an arithmetic number, because the mean of its divisors is an integer number (2420218993950).

Almost surely, 2^{137814912068904} is an apocalyptic number.

137814912068904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137814912068904 is an abundant number, since it is smaller than the sum of its proper divisors (326867134769496).

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

137814912068904 is a wasteful number, since it uses less digits than its factorization.

137814912068904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566133149 (or 566133132 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 137814912068904 in words is "one hundred thirty-seven trillion, eight hundred fourteen billion, nine hundred twelve million, sixty-eight thousand, nine hundred four".