131378416 has 80 divisors (see below), whose sum is σ = 288807904. Its totient is φ = 57480192.

The previous prime is 131378411. The next prime is 131378437. The reversal of 131378416 is 614873131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131378411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330730 + ... + 331126.

Almost surely, 2^131378416 is an apocalyptic number.

131378416 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 131378416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144403952).

131378416 is an abundant number, since it is smaller than the sum of its proper divisors (157429488).

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

131378416 is a wasteful number, since it uses less digits than its factorization.

131378416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 131378416 is about 11462.0424008987. The cubic root of 131378416 is about 508.3638660391.

The spelling of 131378416 in words is "one hundred thirty-one million, three hundred seventy-eight thousand, four hundred sixteen".