138272400 has 480 divisors, whose sum is σ = 590438400. Its totient is φ = 30067200.

The previous prime is 138272399. The next prime is 138272413. The reversal of 138272400 is 4272831.

138272400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2343571 + ... + 2343629.

It is an arithmetic number, because the mean of its divisors is an integer number (1230080).

Almost surely, 2^138272400 is an apocalyptic number.

138272400 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 138272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295219200).

138272400 is an abundant number, since it is smaller than the sum of its proper divisors (452166000).

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

138272400 is a wasteful number, since it uses less digits than its factorization.

138272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 138272400 is about 11758.9285226163. The cubic root of 138272400 is about 517.1047181026.

The spelling of 138272400 in words is "one hundred thirty-eight million, two hundred seventy-two thousand, four hundred".