138670963200 has 1680 divisors, whose sum is σ = 645550842816. Its totient is φ = 28665446400.

The previous prime is 138670963181. The next prime is 138670963213. The reversal of 138670963200 is 2369076831.

138670963200 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 7 + 0 + 9 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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, 718502304 + ... + 718502496.

Almost surely, 2^138670963200 is an apocalyptic number.

138670963200 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 138670963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322775421408).

138670963200 is an abundant number, since it is smaller than the sum of its proper divisors (506879879616).

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

138670963200 is an equidigital number, since it uses as much as digits as its factorization.

138670963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

It can be divided in two parts, 138670 and 963200, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 138670963200 in words is "one hundred thirty-eight billion, six hundred seventy million, nine hundred sixty-three thousand, two hundred".