131406192 has 160 divisors (see below), whose sum is σ = 413812800. Its totient is φ = 39739392.

The previous prime is 131406169. The next prime is 131406193. The reversal of 131406192 is 291604131.

131406192 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 619 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131406193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212668 + ... + 213284.

It is an arithmetic number, because the mean of its divisors is an integer number (2586330).

Almost surely, 2^131406192 is an apocalyptic number.

131406192 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 131406192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206906400).

131406192 is an abundant number, since it is smaller than the sum of its proper divisors (282406608).

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

131406192 is a wasteful number, since it uses less digits than its factorization.

131406192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

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

The square root of 131406192 is about 11463.2539882880. The cubic root of 131406192 is about 508.3996895789.

The spelling of 131406192 in words is "one hundred thirty-one million, four hundred six thousand, one hundred ninety-two".