131864020038436 has 81 divisors (see below), whose sum is σ = 277386557600187. Its totient is φ = 54688079582640.

The previous prime is 131864020038319. The next prime is 131864020038587. The reversal of 131864020038436 is 634830020468131.

The square root of 131864020038436 is 11483206.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 131864020038436.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4983698175 + ... + 4983724633.

Almost surely, 2^{131864020038436} is an apocalyptic number.

131864020038436 is the 11483206-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131864020038436

131864020038436 is an abundant number, since it is smaller than the sum of its proper divisors (145522537561751).

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

131864020038436 is an frugal number, since it uses more digits than its factorization.

131864020038436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52998 (or 26499 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

131864020038436 divided by its sum of digits (49) gives a square (2691102449764 = 1640458²).

The spelling of 131864020038436 in words is "one hundred thirty-one trillion, eight hundred sixty-four billion, twenty million, thirty-eight thousand, four hundred thirty-six".