137901652128 has 144 divisors (see below), whose sum is σ = 394488155880. Its totient is φ = 45694844928.

The previous prime is 137901652117. The next prime is 137901652237. The reversal of 137901652128 is 821256109731.

137901652128 is a `hidden beast` number, since 1 + 3 + 7 + 90 + 16 + 521 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133175364624 + 4726287504 = 364932^2 + 68748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42705618 + ... + 42708846.

Almost surely, 2^137901652128 is an apocalyptic number.

137901652128 is a gapful number since it is divisible by the number (18) 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 137901652128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197244077940).

137901652128 is an abundant number, since it is smaller than the sum of its proper divisors (256586503752).

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

137901652128 is a wasteful number, since it uses less digits than its factorization.

137901652128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 137901652128 in words is "one hundred thirty-seven billion, nine hundred one million, six hundred fifty-two thousand, one hundred twenty-eight".