131378016 has 144 divisors (see below), whose sum is σ = 437814720. Its totient is φ = 34110720.

The previous prime is 131377993. The next prime is 131378021. The reversal of 131378016 is 610873131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50475 + ... + 53013.

It is an arithmetic number, because the mean of its divisors is an integer number (3040380).

Almost surely, 2^131378016 is an apocalyptic number.

131378016 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 131378016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218907360).

131378016 is an abundant number, since it is smaller than the sum of its proper divisors (306436704).

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

131378016 is a wasteful number, since it uses less digits than its factorization.

131378016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 131378016 is about 11462.0249519882. The cubic root of 131378016 is about 508.3633501102.

The spelling of 131378016 in words is "one hundred thirty-one million, three hundred seventy-eight thousand, sixteen".