131611872 has 96 divisors (see below), whose sum is σ = 397958400. Its totient is φ = 37306368.

The previous prime is 131611861. The next prime is 131611873. The reversal of 131611872 is 278116131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131611873) 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, 92704 + ... + 94112.

It is an arithmetic number, because the mean of its divisors is an integer number (4145400).

Almost surely, 2^131611872 is an apocalyptic number.

131611872 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 131611872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198979200).

131611872 is an abundant number, since it is smaller than the sum of its proper divisors (266346528).

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

131611872 is a wasteful number, since it uses less digits than its factorization.

131611872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1560 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 131611872 is about 11472.2217551789. The cubic root of 131611872 is about 508.6648042759.

The spelling of 131611872 in words is "one hundred thirty-one million, six hundred eleven thousand, eight hundred seventy-two".