138139674120 has 384 divisors, whose sum is σ = 530441533440. Its totient is φ = 30510120960.

The previous prime is 138139674091. The next prime is 138139674199. The reversal of 138139674120 is 21476931831.

138139674120 is a `hidden beast` number, since 138 + 1 + 396 + 7 + 4 + 120 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 95071314 + ... + 95072766.

It is an arithmetic number, because the mean of its divisors is an integer number (1381358160).

Almost surely, 2^138139674120 is an apocalyptic number.

138139674120 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 138139674120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265220766720).

138139674120 is an abundant number, since it is smaller than the sum of its proper divisors (392301859320).

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

138139674120 is a wasteful number, since it uses less digits than its factorization.

138139674120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 138139674120 in words is "one hundred thirty-eight billion, one hundred thirty-nine million, six hundred seventy-four thousand, one hundred twenty".