137025449302896 has 2880 divisors, whose sum is σ = 538791075164160. Its totient is φ = 32901661900800.

The previous prime is 137025449302813. The next prime is 137025449302901. The reversal of 137025449302896 is 698203944520731.

137025449302896 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 2 + 54 + 493 + 0 + 2 + 8 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 649409712231 + ... + 649409712441.

It is an arithmetic number, because the mean of its divisors is an integer number (187080234432).

It is a 1-persistent number, because it is pandigital, but 2⋅137025449302896 = 274050898605792 is not.

Almost surely, 2^{137025449302896} is an apocalyptic number.

137025449302896 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 137025449302896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269395537582080).

137025449302896 is an abundant number, since it is smaller than the sum of its proper divisors (401765625861264).

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

137025449302896 is a wasteful number, since it uses less digits than its factorization.

137025449302896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 137025449302896 in words is "one hundred thirty-seven trillion, twenty-five billion, four hundred forty-nine million, three hundred two thousand, eight hundred ninety-six".