138166400 has 48 divisors (see below), whose sum is σ = 341322090. Its totient is φ = 55265280.

The previous prime is 138166367. The next prime is 138166409. The reversal of 138166400 is 4661831.

It can be written as a sum of positive squares in 3 ways, for example, as 108659776 + 29506624 = 10424^2 + 5432^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138166409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18389 + ... + 24788.

Almost surely, 2^138166400 is an apocalyptic number.

138166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138166400 is an abundant number, since it is smaller than the sum of its proper divisors (203155690).

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

138166400 is an equidigital number, since it uses as much as digits as its factorization.

138166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43201 (or 43184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 138166400 is about 11754.4204450921. The cubic root of 138166400 is about 516.9725463587.

The spelling of 138166400 in words is "one hundred thirty-eight million, one hundred sixty-six thousand, four hundred".