131507769600 has 243 divisors, whose sum is σ = 470481327589. Its totient is φ = 35045529600.

The previous prime is 131507769559. The next prime is 131507769637. The reversal of 131507769600 is 6967705131.

The square root of 131507769600 is 362640.

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

131507769600 is a `hidden beast` number, since 1 + 31 + 5 + 0 + 7 + 7 + 6 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47342797056 + 84164972544 = 217584^2 + 290112^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87032845 + ... + 87034355.

Almost surely, 2^131507769600 is an apocalyptic number.

131507769600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131507769600 is the 362640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131507769600

131507769600 is an abundant number, since it is smaller than the sum of its proper divisors (338973557989).

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

131507769600 is an frugal number, since it uses more digits than its factorization.

131507769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 131507769600 in words is "one hundred thirty-one billion, five hundred seven million, seven hundred sixty-nine thousand, six hundred".