131491920 has 320 divisors, whose sum is σ = 503967744. Its totient is φ = 27709440.

The previous prime is 131491909. The next prime is 131491949. The reversal of 131491920 is 29194131.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1584199 + ... + 1584281.

Almost surely, 2^131491920 is an apocalyptic number.

131491920 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 131491920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872).

131491920 is an abundant number, since it is smaller than the sum of its proper divisors (372475824).

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

131491920 is a wasteful number, since it uses less digits than its factorization.

131491920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 131491920 is about 11466.9926310258. The cubic root of 131491920 is about 508.5102237261.

The spelling of 131491920 in words is "one hundred thirty-one million, four hundred ninety-one thousand, nine hundred twenty".