137512740960 has 480 divisors, whose sum is σ = 567549303552. Its totient is φ = 30699648000.

The previous prime is 137512740889. The next prime is 137512740961. The reversal of 137512740960 is 69047215731.

137512740960 is a `hidden beast` number, since 1 + 3 + 7 + 512 + 7 + 40 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137512740961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3883335 + ... + 3918585.

Almost surely, 2^137512740960 is an apocalyptic number.

137512740960 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 137512740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283774651776).

137512740960 is an abundant number, since it is smaller than the sum of its proper divisors (430036562592).

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

137512740960 is a wasteful number, since it uses less digits than its factorization.

137512740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35328 (or 35311 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 137512740960 in words is "one hundred thirty-seven billion, five hundred twelve million, seven hundred forty thousand, nine hundred sixty".