137505816157440 has 1152 divisors, whose sum is σ = 461565941760000. Its totient is φ = 34861145260032.

The previous prime is 137505816157427. The next prime is 137505816157573. The reversal of 137505816157440 is 44751618505731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 511174037626 + ... + 511174037894.

It is an arithmetic number, because the mean of its divisors is an integer number (400664880000).

Almost surely, 2^{137505816157440} is an apocalyptic number.

137505816157440 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 137505816157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230782970880000).

137505816157440 is an abundant number, since it is smaller than the sum of its proper divisors (324060125602560).

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

137505816157440 is a wasteful number, since it uses less digits than its factorization.

137505816157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 57.

The spelling of 137505816157440 in words is "one hundred thirty-seven trillion, five hundred five billion, eight hundred sixteen million, one hundred fifty-seven thousand, four hundred forty".