131767872 has 56 divisors (see below), whose sum is σ = 350739456. Its totient is φ = 43657728.

The previous prime is 131767871. The next prime is 131767877. The reversal of 131767872 is 278767131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131767871) 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, 31233 + ... + 35199.

Almost surely, 2^131767872 is an apocalyptic number.

131767872 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 131767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175369728).

131767872 is an abundant number, since it is smaller than the sum of its proper divisors (218971584).

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

131767872 is a wasteful number, since it uses less digits than its factorization.

131767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4145 counting only the distinct ones).

The product of its digits is 98784, while the sum is 42.

The square root of 131767872 is about 11479.0187733970. The cubic root of 131767872 is about 508.8656989645.

The spelling of 131767872 in words is "one hundred thirty-one million, seven hundred sixty-seven thousand, eight hundred seventy-two".