138639173400 has 1536 divisors, whose sum is σ = 639959040000. Its totient is φ = 26761881600.

The previous prime is 138639173333. The next prime is 138639173411. The reversal of 138639173400 is 4371936831.

138639173400 is a `hidden beast` number, since 1 + 3 + 8 + 639 + 1 + 7 + 3 + 4 + 0 + 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 289434361 + ... + 289434839.

It is an arithmetic number, because the mean of its divisors is an integer number (416640000).

Almost surely, 2^138639173400 is an apocalyptic number.

138639173400 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 138639173400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319979520000).

138639173400 is an abundant number, since it is smaller than the sum of its proper divisors (501319866600).

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

138639173400 is a wasteful number, since it uses less digits than its factorization.

138639173400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

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

The spelling of 138639173400 in words is "one hundred thirty-eight billion, six hundred thirty-nine million, one hundred seventy-three thousand, four hundred".