138015400 has 48 divisors (see below), whose sum is σ = 321659100. Its totient is φ = 55073280.

The previous prime is 138015349. The next prime is 138015419. The reversal of 138015400 is 4510831.

It can be written as a sum of positive squares in 6 ways, for example, as 42484324 + 95531076 = 6518^2 + 9774^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161374 + ... + 162226.

Almost surely, 2^138015400 is an apocalyptic number.

138015400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138015400 is an abundant number, since it is smaller than the sum of its proper divisors (183643700).

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

138015400 is a wasteful number, since it uses less digits than its factorization.

138015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 138015400 is about 11747.9955737138. The cubic root of 138015400 is about 516.7841471780.

The spelling of 138015400 in words is "one hundred thirty-eight million, fifteen thousand, four hundred".