131154560 has 64 divisors (see below), whose sum is σ = 316801800. Its totient is φ = 51916800.

The previous prime is 131154557. The next prime is 131154571. The reversal of 131154560 is 65451131.

It can be written as a sum of positive squares in 4 ways, for example, as 127057984 + 4096576 = 11272^2 + 2024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63626 + ... + 65654.

Almost surely, 2^131154560 is an apocalyptic number.

131154560 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 131154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400900).

131154560 is an abundant number, since it is smaller than the sum of its proper divisors (185647240).

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

131154560 is a wasteful number, since it uses less digits than its factorization.

131154560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 131154560 is about 11452.2731368056. The cubic root of 131154560 is about 508.0749677528.

The spelling of 131154560 in words is "one hundred thirty-one million, one hundred fifty-four thousand, five hundred sixty".