138572400 has 120 divisors (see below), whose sum is σ = 456036784. Its totient is φ = 35942400.

The previous prime is 138572393. The next prime is 138572407. The reversal of 138572400 is 4275831.

138572400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138572393) and next prime (138572407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138572407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42840 + ... + 45960.

Almost surely, 2^138572400 is an apocalyptic number.

138572400 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 138572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228018392).

138572400 is an abundant number, since it is smaller than the sum of its proper divisors (317464384).

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

138572400 is a wasteful number, since it uses less digits than its factorization.

138572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 138572400 is about 11771.6778753073. The cubic root of 138572400 is about 517.4784233343.

The spelling of 138572400 in words is "one hundred thirty-eight million, five hundred seventy-two thousand, four hundred".