130192640 has 72 divisors (see below), whose sum is σ = 320397000. Its totient is φ = 50651136.

The previous prime is 130192633. The next prime is 130192669. The reversal of 130192640 is 46291031.

130192640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13897984 + 116294656 = 3728^2 + 10784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45986 + ... + 48734.

Almost surely, 2^130192640 is an apocalyptic number.

130192640 is a gapful number since it is divisible by the number (10) 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 130192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160198500).

130192640 is an abundant number, since it is smaller than the sum of its proper divisors (190204360).

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

130192640 is an equidigital number, since it uses as much as digits as its factorization.

130192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 130192640 is about 11410.1989465565. The cubic root of 130192640 is about 506.8298028080.

The spelling of 130192640 in words is "one hundred thirty million, one hundred ninety-two thousand, six hundred forty".