131853312 has 176 divisors, whose sum is σ = 412675200. Its totient is φ = 41472000.

The previous prime is 131853301. The next prime is 131853329. The reversal of 131853312 is 213358131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525187 + ... + 525437.

Almost surely, 2^131853312 is an apocalyptic number.

131853312 is a gapful number since it is divisible by the number (12) 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 131853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206337600).

131853312 is an abundant number, since it is smaller than the sum of its proper divisors (280821888).

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

131853312 is a wasteful number, since it uses less digits than its factorization.

131853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 131853312 is about 11482.7397427617. The cubic root of 131853312 is about 508.9756602445.

The spelling of 131853312 in words is "one hundred thirty-one million, eight hundred fifty-three thousand, three hundred twelve".