130413240 has 96 divisors (see below), whose sum is σ = 439573680. Its totient is φ = 34774272.

The previous prime is 130413229. The next prime is 130413247. The reversal of 130413240 is 42314031.

130413240 is a `hidden beast` number, since 13 + 0 + 413 + 240 = 666.

It is a super-2 number, since 2×130413240² = 34015226334595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130413247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3012 + ... + 16428.

Almost surely, 2^130413240 is an apocalyptic number.

130413240 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 130413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219786840).

130413240 is an abundant number, since it is smaller than the sum of its proper divisors (309160440).

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

130413240 is a wasteful number, since it uses less digits than its factorization.

130413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13443 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130413240 is about 11419.8616453966. The cubic root of 130413240 is about 507.1159008164.

Adding to 130413240 its reverse (42314031), we get a palindrome (172727271).

The spelling of 130413240 in words is "one hundred thirty million, four hundred thirteen thousand, two hundred forty".