138264445125 has 64 divisors (see below), whose sum is σ = 255864510720. Its totient is φ = 73675008000.

The previous prime is 138264445117. The next prime is 138264445139. The reversal of 138264445125 is 521544462831.

138264445125 is a `hidden beast` number, since 1 + 3 + 82 + 6 + 4 + 445 + 125 = 666.

It is not a de Polignac number, because 138264445125 - 2³ = 138264445117 is a prime.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3873610 + ... + 3909140.

It is an arithmetic number, because the mean of its divisors is an integer number (3997882980).

Almost surely, 2^138264445125 is an apocalyptic number.

138264445125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138264445125 is a deficient number, since it is larger than the sum of its proper divisors (117600065595).

138264445125 is a wasteful number, since it uses less digits than its factorization.

138264445125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36708 (or 36692 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 138264445125 in words is "one hundred thirty-eight billion, two hundred sixty-four million, four hundred forty-five thousand, one hundred twenty-five".