130951872 has 84 divisors (see below), whose sum is σ = 381605536. Its totient is φ = 42923520.

The previous prime is 130951789. The next prime is 130951879. The reversal of 130951872 is 278159031.

130951872 is a `hidden beast` number, since 130 + 9 + 518 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130951879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33273 + ... + 36999.

Almost surely, 2^130951872 is an apocalyptic number.

130951872 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 130951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190802768).

130951872 is an abundant number, since it is smaller than the sum of its proper divisors (250653664).

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

130951872 is a wasteful number, since it uses less digits than its factorization.

130951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 130951872 is about 11443.4204676749. The cubic root of 130951872 is about 507.8131042082.

The spelling of 130951872 in words is "one hundred thirty million, nine hundred fifty-one thousand, eight hundred seventy-two".