138004400 has 30 divisors (see below), whose sum is σ = 331556532. Its totient is φ = 55201600.

The previous prime is 138004397. The next prime is 138004409. The reversal of 138004400 is 4400831.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (138004409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 172106 + ... + 172905.

Almost surely, 2^138004400 is an apocalyptic number.

138004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138004400 is an abundant number, since it is smaller than the sum of its proper divisors (193552132).

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

138004400 is a wasteful number, since it uses less digits than its factorization.

138004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345029 (or 345018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 138004400 is about 11747.5273994147. The cubic root of 138004400 is about 516.7704173656.

The spelling of 138004400 in words is "one hundred thirty-eight million, four thousand, four hundred".