131522947200 has 216 divisors, whose sum is σ = 469523727855. Its totient is φ = 35056373760.

The previous prime is 131522947169. The next prime is 131522947291. The reversal of 131522947200 is 2749225131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

131522947200 is a `hidden beast` number, since 13 + 152 + 29 + 472 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 693163584 + 130829783616 = 26328^2 + 361704^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=256440.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 61544532 + ... + 61546668.

Almost surely, 2^131522947200 is an apocalyptic number.

131522947200 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 131522947200

131522947200 is an abundant number, since it is smaller than the sum of its proper divisors (338000780655).

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

131522947200 is an frugal number, since it uses more digits than its factorization.

131522947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 131522947200 in words is "one hundred thirty-one billion, five hundred twenty-two million, nine hundred forty-seven thousand, two hundred".