131943817422400 has 63 divisors (see below), whose sum is σ = 324665386325409. Its totient is φ = 52777343182080.

The previous prime is 131943817422383. The next prime is 131943817422407. The reversal of 131943817422400 is 4224718349131.

The square root of 131943817422400 is 11486680.

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

It can be written as a sum of positive squares in only one way, i.e., 47499774272064 + 84444043150336 = 6892008^2 + 9189344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131943817422407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 459323617 + ... + 459610783.

Almost surely, 2^{131943817422400} is an apocalyptic number.

131943817422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131943817422400 is the 11486680-th square number.

It is an amenable number.

131943817422400 is an abundant number, since it is smaller than the sum of its proper divisors (192721568903009).

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

131943817422400 is an frugal number, since it uses more digits than its factorization.

131943817422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574356 (or 287174 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 131943817422400 in words is "one hundred thirty-one trillion, nine hundred forty-three billion, eight hundred seventeen million, four hundred twenty-two thousand, four hundred".