131583870 has 144 divisors (see below), whose sum is σ = 386161776. Its totient is φ = 31046400.

The previous prime is 131583857. The next prime is 131583899. The reversal of 131583870 is 78385131.

131583870 is a `hidden beast` number, since 1 + 3 + 1 + 583 + 8 + 70 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 468130 + ... + 468410.

It is an arithmetic number, because the mean of its divisors is an integer number (2681679).

Almost surely, 2^131583870 is an apocalyptic number.

131583870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131583870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193080888).

131583870 is an abundant number, since it is smaller than the sum of its proper divisors (254577906).

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

131583870 is a wasteful number, since it uses less digits than its factorization.

131583870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 131583870 is about 11471.0012640571. The cubic root of 131583870 is about 508.6287268767.

The spelling of 131583870 in words is "one hundred thirty-one million, five hundred eighty-three thousand, eight hundred seventy".