131409360288 has 96 divisors (see below), whose sum is σ = 389560691520. Its totient is φ = 43085018880.

The previous prime is 131409360241. The next prime is 131409360293. The reversal of 131409360288 is 882063904131.

131409360288 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 9 + 360 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193970 + ... + 1299377.

It is an arithmetic number, because the mean of its divisors is an integer number (4057923870).

Almost surely, 2^131409360288 is an apocalyptic number.

131409360288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131409360288 is an abundant number, since it is smaller than the sum of its proper divisors (258151331232).

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

131409360288 is a wasteful number, since it uses less digits than its factorization.

131409360288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493427 (or 2493413 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 131409360288 in words is "one hundred thirty-one billion, four hundred nine million, three hundred sixty thousand, two hundred eighty-eight".