131609328400 has 405 divisors, whose sum is σ = 373041284637. Its totient is φ = 44578406400.

The previous prime is 131609328377. The next prime is 131609328401. The reversal of 131609328400 is 4823906131.

The square root of 131609328400 is 362780.

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

It can be written as a sum of positive squares in 13 ways, for example, as 52409860624 + 79199467776 = 228932^2 + 281424^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131609328400.

It is not an unprimeable number, because it can be changed into a prime (131609328401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1356797152 + ... + 1356797248.

Almost surely, 2^131609328400 is an apocalyptic number.

131609328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131609328400 is the 362780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131609328400

131609328400 is an abundant number, since it is smaller than the sum of its proper divisors (241431956237).

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

131609328400 is a wasteful number, since it uses less digits than its factorization.

131609328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 131609328400 in words is "one hundred thirty-one billion, six hundred nine million, three hundred twenty-eight thousand, four hundred".