130071840 has 96 divisors (see below), whose sum is σ = 413937216. Its totient is φ = 34329600.

The previous prime is 130071839. The next prime is 130071847. The reversal of 130071840 is 48170031.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130071840.

It is not an unprimeable number, because it can be changed into a prime (130071847) 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, 47139 + ... + 49821.

It is an arithmetic number, because the mean of its divisors is an integer number (4311846).

Almost surely, 2^130071840 is an apocalyptic number.

130071840 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 130071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206968608).

130071840 is an abundant number, since it is smaller than the sum of its proper divisors (283865376).

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

130071840 is a wasteful number, since it uses less digits than its factorization.

130071840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 130071840 is about 11404.9042082781. The cubic root of 130071840 is about 506.6729993053.

The spelling of 130071840 in words is "one hundred thirty million, seventy-one thousand, eight hundred forty".