138254668272 has 240 divisors, whose sum is σ = 478051624960. Its totient is φ = 36410715648.

The previous prime is 138254668267. The next prime is 138254668283. The reversal of 138254668272 is 272866452831.

138254668272 is a `hidden beast` number, since 1 + 38 + 2 + 5 + 466 + 82 + 72 = 666.

It is a super-2 number, since 2×138254668272² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611073 + ... + 806175.

Almost surely, 2^138254668272 is an apocalyptic number.

138254668272 is a gapful number since it is divisible by the number (12) 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 138254668272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239025812480).

138254668272 is an abundant number, since it is smaller than the sum of its proper divisors (339796956688).

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

138254668272 is a wasteful number, since it uses less digits than its factorization.

138254668272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195180 (or 195171 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 138254668272 in words is "one hundred thirty-eight billion, two hundred fifty-four million, six hundred sixty-eight thousand, two hundred seventy-two".