138734856000 has 1120 divisors, whose sum is σ = 567055577088. Its totient is φ = 33268838400.

The previous prime is 138734855993. The next prime is 138734856017. The reversal of 138734856000 is 658437831.

138734856000 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 34 + 8 + 5 + 600 + 0 = 666.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 362231809 + ... + 362232191.

Almost surely, 2^138734856000 is an apocalyptic number.

138734856000 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 138734856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283527788544).

138734856000 is an abundant number, since it is smaller than the sum of its proper divisors (428320721088).

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

138734856000 is a wasteful number, since it uses less digits than its factorization.

138734856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 138734856000 in words is "one hundred thirty-eight billion, seven hundred thirty-four million, eight hundred fifty-six thousand".