131504507200 has 168 divisors, whose sum is σ = 355700831904. Its totient is φ = 47453952000.

The previous prime is 131504507177. The next prime is 131504507209. The reversal of 131504507200 is 2705405131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131504507209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2277082 + ... + 2334118.

Almost surely, 2^131504507200 is an apocalyptic number.

131504507200 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 131504507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177850415952).

131504507200 is an abundant number, since it is smaller than the sum of its proper divisors (224196324704).

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

131504507200 is a wasteful number, since it uses less digits than its factorization.

131504507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57201 (or 57186 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 131504507200 in words is "one hundred thirty-one billion, five hundred four million, five hundred seven thousand, two hundred".