131640672 has 48 divisors (see below), whose sum is σ = 354905712. Its totient is φ = 42693120.

The previous prime is 131640671. The next prime is 131640727. The reversal of 131640672 is 276046131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×131640672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131640671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14979 + ... + 22082.

It is an arithmetic number, because the mean of its divisors is an integer number (7393869).

Almost surely, 2^131640672 is an apocalyptic number.

131640672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131640672 is an abundant number, since it is smaller than the sum of its proper divisors (223265040).

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

131640672 is a wasteful number, since it uses less digits than its factorization.

131640672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37111 (or 37103 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 131640672 is about 11473.4768923810. The cubic root of 131640672 is about 508.7019044698.

The spelling of 131640672 in words is "one hundred thirty-one million, six hundred forty thousand, six hundred seventy-two".