137297767525056 has 784 divisors, whose sum is σ = 422193656500000. Its totient is φ = 44254146134016.

The previous prime is 137297767525027. The next prime is 137297767525063. The reversal of 137297767525056 is 650525767792731.

137297767525056 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 9 + 7 + 7 + 67 + 52 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 109926154320 + ... + 109926155568.

Almost surely, 2^{137297767525056} is an apocalyptic number.

137297767525056 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 137297767525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211096828250000).

137297767525056 is an abundant number, since it is smaller than the sum of its proper divisors (284895888974944).

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

137297767525056 is a wasteful number, since it uses less digits than its factorization.

137297767525056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 1166886000, while the sum is 72.

The spelling of 137297767525056 in words is "one hundred thirty-seven trillion, two hundred ninety-seven billion, seven hundred sixty-seven million, five hundred twenty-five thousand, fifty-six".