131951160 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 30804480.

The previous prime is 131951123. The next prime is 131951173. The reversal of 131951160 is 61159131.

It is a super-2 number, since 2×131951160² = 34822217250691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344329 + ... + 344711.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^131951160 is an apocalyptic number.

131951160 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 131951160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

131951160 is an abundant number, since it is smaller than the sum of its proper divisors (365712840).

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

131951160 is a wasteful number, since it uses less digits than its factorization.

131951160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 131951160 is about 11486.9996082528. Note that the first 3 decimals coincide. The cubic root of 131951160 is about 509.1015322845.

The spelling of 131951160 in words is "one hundred thirty-one million, nine hundred fifty-one thousand, one hundred sixty".