138187879200 has 1296 divisors, whose sum is σ = 598087657440. Its totient is φ = 31039303680.

The previous prime is 138187879177. The next prime is 138187879211. The reversal of 138187879200 is 2978781831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 847778319 + ... + 847778481.

It is an arithmetic number, because the mean of its divisors is an integer number (461487390).

Almost surely, 2^138187879200 is an apocalyptic number.

138187879200 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 138187879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299043828720).

138187879200 is an abundant number, since it is smaller than the sum of its proper divisors (459899778240).

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

138187879200 is a wasteful number, since it uses less digits than its factorization.

138187879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 138187879200 in words is "one hundred thirty-eight billion, one hundred eighty-seven million, eight hundred seventy-nine thousand, two hundred".