137252860364880 has 240 divisors, whose sum is σ = 498375534174336. Its totient is φ = 33650716032000.

The previous prime is 137252860364839. The next prime is 137252860364881. The reversal of 137252860364880 is 88463068252731.

137252860364880 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 528 + 60 + 3 + 6 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137252860364881) 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, 26861332 + ... + 31560051.

Almost surely, 2^{137252860364880} is an apocalyptic number.

137252860364880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137252860364880 is an abundant number, since it is smaller than the sum of its proper divisors (361122673809456).

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

137252860364880 is a wasteful number, since it uses less digits than its factorization.

137252860364880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58421666 (or 58421657 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 137252860364880 in words is "one hundred thirty-seven trillion, two hundred fifty-two billion, eight hundred sixty million, three hundred sixty-four thousand, eight hundred eighty".