138956731200 has 1512 divisors, whose sum is σ = 614945037824. Its totient is φ = 30233088000.

The previous prime is 138956731157. The next prime is 138956731213. The reversal of 138956731200 is 2137659831.

138956731200 is a `hidden beast` number, since 1 + 3 + 89 + 567 + 3 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 2277979170 + ... + 2277979230.

Almost surely, 2^138956731200 is an apocalyptic number.

138956731200 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 138956731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307472518912).

138956731200 is an abundant number, since it is smaller than the sum of its proper divisors (475988306624).

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

138956731200 is an frugal number, since it uses more digits than its factorization.

138956731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 138956731200 in words is "one hundred thirty-eight billion, nine hundred fifty-six million, seven hundred thirty-one thousand, two hundred".