131657792 has 112 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 52027392.

The previous prime is 131657791. The next prime is 131657797. The reversal of 131657792 is 297756131.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (79380) is a multiple of the sum of its prime divisors (378).

It is not an unprimeable number, because it can be changed into a prime (131657791) 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, 449198 + ... + 449490.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2^131657792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131657792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

131657792 is an abundant number, since it is smaller than the sum of its proper divisors (190942528).

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

131657792 is a wasteful number, since it uses less digits than its factorization.

131657792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 79380, while the sum is 41.

The square root of 131657792 is about 11474.2229366524. Note that the first 3 decimals coincide. The cubic root of 131657792 is about 508.7239559097.

The spelling of 131657792 in words is "one hundred thirty-one million, six hundred fifty-seven thousand, seven hundred ninety-two".