131561504 has 48 divisors (see below), whose sum is σ = 278964000. Its totient is φ = 60847104.

The previous prime is 131561501. The next prime is 131561513. The reversal of 131561504 is 405165131.

It is not an unprimeable number, because it can be changed into a prime (131561501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30047 + ... + 34145.

It is an arithmetic number, because the mean of its divisors is an integer number (5811750).

Almost surely, 2^131561504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131561504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139482000).

131561504 is an abundant number, since it is smaller than the sum of its proper divisors (147402496).

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

131561504 is a wasteful number, since it uses less digits than its factorization.

131561504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4177 counting only the distinct ones).

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

The square root of 131561504 is about 11470.0263295251. The cubic root of 131561504 is about 508.5999071469.

The spelling of 131561504 in words is "one hundred thirty-one million, five hundred sixty-one thousand, five hundred four".