139712400 has 135 divisors (see below), whose sum is σ = 487314451. Its totient is φ = 37067520.

The previous prime is 139712317. The next prime is 139712411. The reversal of 139712400 is 4217931.

The square root of 139712400 is 11820.

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 32216976 + 107495424 = 5676^2 + 10368^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 26 ways as a sum of consecutive naturals, for example, 709102 + ... + 709298.

Almost surely, 2^139712400 is an apocalyptic number.

139712400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139712400 is the 11820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139712400

139712400 is an abundant number, since it is smaller than the sum of its proper divisors (347602051).

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

139712400 is a wasteful number, since it uses less digits than its factorization.

139712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 139712400 is about 518.8936042162.

The spelling of 139712400 in words is "one hundred thirty-nine million, seven hundred twelve thousand, four hundred".