131964154560 has 224 divisors, whose sum is σ = 532046200320. Its totient is φ = 30163221504.

The previous prime is 131964154519. The next prime is 131964154589. The reversal of 131964154560 is 65451469131.

131964154560 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 6 + 41 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 1030494 + ... + 1151453.

Almost surely, 2^131964154560 is an apocalyptic number.

131964154560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131964154560 is an abundant number, since it is smaller than the sum of its proper divisors (400082045760).

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

131964154560 is a wasteful number, since it uses less digits than its factorization.

131964154560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181980 (or 2181964 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 131964154560 in words is "one hundred thirty-one billion, nine hundred sixty-four million, one hundred fifty-four thousand, five hundred sixty".