131165724 has 72 divisors (see below), whose sum is σ = 325726128. Its totient is φ = 41054720.

The previous prime is 131165707. The next prime is 131165729. The reversal of 131165724 is 427561131.

It is a junction number, because it is equal to n+sod(n) for n = 131165691 and 131165700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131165729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413614 + ... + 413930.

It is an arithmetic number, because the mean of its divisors is an integer number (4523974).

Almost surely, 2^131165724 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 131165724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162863064).

131165724 is an abundant number, since it is smaller than the sum of its proper divisors (194560404).

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

131165724 is a wasteful number, since it uses less digits than its factorization.

131165724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 392 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 131165724 is about 11452.7605405858. The cubic root of 131165724 is about 508.0893832841.

The spelling of 131165724 in words is "one hundred thirty-one million, one hundred sixty-five thousand, seven hundred twenty-four".