131811960 has 192 divisors, whose sum is σ = 476474400. Its totient is φ = 29051904.

The previous prime is 131811929. The next prime is 131811971. The reversal of 131811960 is 69118131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170134 + ... + 170906.

Almost surely, 2^131811960 is an apocalyptic number.

131811960 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 131811960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238237200).

131811960 is an abundant number, since it is smaller than the sum of its proper divisors (344662440).

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

131811960 is a wasteful number, since it uses less digits than its factorization.

131811960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 131811960 is about 11480.9389859889. The cubic root of 131811960 is about 508.9224461541.

The spelling of 131811960 in words is "one hundred thirty-one million, eight hundred eleven thousand, nine hundred sixty".