131534899200 has 432 divisors, whose sum is σ = 474886011600. Its totient is φ = 34792243200.

The previous prime is 131534899141. The next prime is 131534899201. The reversal of 131534899200 is 2998435131.

It is a happy number.

131534899200 is a `hidden beast` number, since 1 + 3 + 1 + 534 + 8 + 99 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131534899201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60363711 + ... + 60365889.

It is an arithmetic number, because the mean of its divisors is an integer number (1099273175).

Almost surely, 2^131534899200 is an apocalyptic number.

131534899200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131534899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237443005800).

131534899200 is an abundant number, since it is smaller than the sum of its proper divisors (343351112400).

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

131534899200 is a wasteful number, since it uses less digits than its factorization.

131534899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 131534899200 in words is "one hundred thirty-one billion, five hundred thirty-four million, eight hundred ninety-nine thousand, two hundred".