137512640128 has 32 divisors (see below), whose sum is σ = 276610707360. Its totient is φ = 68088776448.

The previous prime is 137512640123. The next prime is 137512640141. The reversal of 137512640128 is 821046215731.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (137512640123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5201950 + ... + 5228317.

It is an arithmetic number, because the mean of its divisors is an integer number (8644084605).

Almost surely, 2^137512640128 is an apocalyptic number.

It is an amenable number.

137512640128 is an abundant number, since it is smaller than the sum of its proper divisors (139098067232).

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

137512640128 is a wasteful number, since it uses less digits than its factorization.

137512640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430384 (or 10430372 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

Adding to 137512640128 its reverse (821046215731), we get a palindrome (958558855859).

The spelling of 137512640128 in words is "one hundred thirty-seven billion, five hundred twelve million, six hundred forty thousand, one hundred twenty-eight".