131552515200 has 192 divisors, whose sum is σ = 433844107200. Its totient is φ = 35036712960.

The previous prime is 131552515141. The next prime is 131552515201. The reversal of 131552515200 is 2515255131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131552515201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8046234 + ... + 8062566.

It is an arithmetic number, because the mean of its divisors is an integer number (2259604725).

Almost surely, 2^131552515200 is an apocalyptic number.

131552515200 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 131552515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216922053600).

131552515200 is an abundant number, since it is smaller than the sum of its proper divisors (302291592000).

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

131552515200 is a wasteful number, since it uses less digits than its factorization.

131552515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17199 (or 17182 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 131552515200 in words is "one hundred thirty-one billion, five hundred fifty-two million, five hundred fifteen thousand, two hundred".