139293168400 has 45 divisors (see below), whose sum is σ = 334669771263. Its totient is φ = 55714281600.

The previous prime is 139293168389. The next prime is 139293168431. The reversal of 139293168400 is 4861392931.

It is a happy number.

The square root of 139293168400 is 373220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47808697104 + 91484471296 = 218652^2 + 302464^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 7455070 + ... + 7473730.

Almost surely, 2^139293168400 is an apocalyptic number.

139293168400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139293168400 is the 373220-th square number.

It is an amenable number.

139293168400 is an abundant number, since it is smaller than the sum of its proper divisors (195376602863).

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

139293168400 is an frugal number, since it uses more digits than its factorization.

139293168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37340 (or 18668 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 139293168400 in words is "one hundred thirty-nine billion, two hundred ninety-three million, one hundred sixty-eight thousand, four hundred".