138191200 has 72 divisors (see below), whose sum is σ = 385569072. Its totient is φ = 47377920.

The previous prime is 138191167. The next prime is 138191227. The reversal of 138191200 is 2191831.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6739 + ... + 17938.

It is an arithmetic number, because the mean of its divisors is an integer number (5355126).

Almost surely, 2^138191200 is an apocalyptic number.

138191200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138191200 is an abundant number, since it is smaller than the sum of its proper divisors (247377872).

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

138191200 is a wasteful number, since it uses less digits than its factorization.

138191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24704 (or 24691 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 138191200 is about 11755.4753200370. The cubic root of 138191200 is about 517.0034756154.

The spelling of 138191200 in words is "one hundred thirty-eight million, one hundred ninety-one thousand, two hundred".