138936155904 has 792 divisors, whose sum is σ = 517059413472. Its totient is φ = 36279705600.

The previous prime is 138936155903. The next prime is 138936155909. The reversal of 138936155904 is 409551639831.

138936155904 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 36 + 15 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138936155903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 1375605454 + ... + 1375605554.

Almost surely, 2^138936155904 is an apocalyptic number.

138936155904 is a gapful number since it is divisible by the number (14) 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 138936155904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258529706736).

138936155904 is an abundant number, since it is smaller than the sum of its proper divisors (378123257568).

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

138936155904 is an frugal number, since it uses more digits than its factorization.

138936155904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 138936155904 in words is "one hundred thirty-eight billion, nine hundred thirty-six million, one hundred fifty-five thousand, nine hundred four".