138753874224 has 120 divisors (see below), whose sum is σ = 443897755392. Its totient is φ = 39634531200.

The previous prime is 138753874213. The next prime is 138753874241. The reversal of 138753874224 is 422478357831.

It is a happy number.

138753874224 is a `hidden beast` number, since 1 + 3 + 87 + 538 + 7 + 4 + 2 + 24 = 666.

138753874224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138753874224² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976707 + ... + 5004509.

Almost surely, 2^138753874224 is an apocalyptic number.

138753874224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138753874224 is an abundant number, since it is smaller than the sum of its proper divisors (305143881168).

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

138753874224 is a wasteful number, since it uses less digits than its factorization.

138753874224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32775 (or 32766 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 138753874224 in words is "one hundred thirty-eight billion, seven hundred fifty-three million, eight hundred seventy-four thousand, two hundred twenty-four".