138152274120 has 384 divisors, whose sum is σ = 547310649600. Its totient is φ = 29501964288.

The previous prime is 138152274107. The next prime is 138152274121. The reversal of 138152274120 is 21472251831.

138152274120 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 522 + 7 + 4 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138152274121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5857311 + ... + 5880849.

It is an arithmetic number, because the mean of its divisors is an integer number (1425288150).

Almost surely, 2^138152274120 is an apocalyptic number.

138152274120 is a gapful number since it is divisible by the number (10) 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 138152274120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273655324800).

138152274120 is an abundant number, since it is smaller than the sum of its proper divisors (409158375480).

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

138152274120 is a wasteful number, since it uses less digits than its factorization.

138152274120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23717 (or 23710 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 138152274120 in words is "one hundred thirty-eight billion, one hundred fifty-two million, two hundred seventy-four thousand, one hundred twenty".