138291200 has 144 divisors (see below), whose sum is σ = 356969340. Its totient is φ = 53084160.

The previous prime is 138291193. The next prime is 138291229. The reversal of 138291200 is 2192831.

It can be written as a sum of positive squares in 6 ways, for example, as 85525504 + 52765696 = 9248^2 + 7264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138291200.

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, 1894364 + ... + 1894436.

Almost surely, 2^138291200 is an apocalyptic number.

138291200 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 138291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178484670).

138291200 is an abundant number, since it is smaller than the sum of its proper divisors (218678140).

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

138291200 is an equidigital number, since it uses as much as digits as its factorization.

138291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 138291200 is about 11759.7278880083. The cubic root of 138291200 is about 517.1281528303.

The spelling of 138291200 in words is "one hundred thirty-eight million, two hundred ninety-one thousand, two hundred".