138031994700 has 504 divisors, whose sum is σ = 479796291072. Its totient is φ = 34331351040.

The previous prime is 138031994669. The next prime is 138031994741. The reversal of 138031994700 is 7499130831.

138031994700 is a `hidden beast` number, since 13 + 80 + 3 + 1 + 99 + 470 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 157390662 + ... + 157391538.

It is an arithmetic number, because the mean of its divisors is an integer number (951976768).

Almost surely, 2^138031994700 is an apocalyptic number.

138031994700 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 138031994700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239898145536).

138031994700 is an abundant number, since it is smaller than the sum of its proper divisors (341764296372).

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

138031994700 is a wasteful number, since it uses less digits than its factorization.

138031994700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 138031994700 in words is "one hundred thirty-eight billion, thirty-one million, nine hundred ninety-four thousand, seven hundred".