138457912320 has 1584 divisors, whose sum is σ = 619229454480. Its totient is φ = 28339863552.

The previous prime is 138457912283. The next prime is 138457912331. The reversal of 138457912320 is 23219754831.

It is a happy number.

138457912320 is a `hidden beast` number, since 1 + 38 + 4 + 579 + 1 + 23 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13515457536 + 124942454784 = 116256^2 + 353472^2 .

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1555706836 + ... + 1555706924.

Almost surely, 2^138457912320 is an apocalyptic number.

138457912320 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 138457912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309614727240).

138457912320 is an abundant number, since it is smaller than the sum of its proper divisors (480771542160).

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

138457912320 is a wasteful number, since it uses less digits than its factorization.

138457912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 138457912320 in words is "one hundred thirty-eight billion, four hundred fifty-seven million, nine hundred twelve thousand, three hundred twenty".