138121052553 has 64 divisors (see below), whose sum is σ = 228303360000. Its totient is φ = 81810838080.

The previous prime is 138121052521. The next prime is 138121052599. The reversal of 138121052553 is 355250121831.

138121052553 is a `hidden beast` number, since 1 + 3 + 8 + 121 + 0 + 525 + 5 + 3 = 666.

It is not a de Polignac number, because 138121052553 - 2⁵ = 138121052521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138121056553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10225198 + ... + 10238696.

It is an arithmetic number, because the mean of its divisors is an integer number (3567240000).

Almost surely, 2^138121052553 is an apocalyptic number.

It is an amenable number.

138121052553 is a deficient number, since it is larger than the sum of its proper divisors (90182307447).

138121052553 is a wasteful number, since it uses less digits than its factorization.

138121052553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14299 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 138121052553 in words is "one hundred thirty-eight billion, one hundred twenty-one million, fifty-two thousand, five hundred fifty-three".