131398176 has 192 divisors, whose sum is σ = 431827200. Its totient is φ = 34265088.

The previous prime is 131398123. The next prime is 131398193. The reversal of 131398176 is 671893131.

It is a super-2 number, since 2×131398176² = 34530961312253952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476340 + ... + 1476428.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2^131398176 is an apocalyptic number.

131398176 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 131398176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215913600).

131398176 is an abundant number, since it is smaller than the sum of its proper divisors (300429024).

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

131398176 is an equidigital number, since it uses as much as digits as its factorization.

131398176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 131398176 is about 11462.9043440133. The cubic root of 131398176 is about 508.3893516217.

The spelling of 131398176 in words is "one hundred thirty-one million, three hundred ninety-eight thousand, one hundred seventy-six".