131290416 has 80 divisors (see below), whose sum is σ = 381721600. Its totient is φ = 43198272.

The previous prime is 131290387. The next prime is 131290429. The reversal of 131290416 is 614092131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131290416.

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, 32205 + ... + 36051.

It is an arithmetic number, because the mean of its divisors is an integer number (4771520).

Almost surely, 2^131290416 is an apocalyptic number.

131290416 is a gapful number since it is divisible by the number (16) 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 131290416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190860800).

131290416 is an abundant number, since it is smaller than the sum of its proper divisors (250431184).

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

131290416 is a wasteful number, since it uses less digits than its factorization.

131290416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 131290416 is about 11458.2030004709. The cubic root of 131290416 is about 508.2503364511.

The spelling of 131290416 in words is "one hundred thirty-one million, two hundred ninety thousand, four hundred sixteen".