130409088 has 64 divisors (see below), whose sum is σ = 348146400. Its totient is φ = 43250688.

The previous prime is 130409087. The next prime is 130409089. The reversal of 130409088 is 880904031.

It is an interprime number because it is at equal distance from previous prime (130409087) and next prime (130409089).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (130409087) 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, 87195 + ... + 88677.

Almost surely, 2^130409088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174073200).

130409088 is an abundant number, since it is smaller than the sum of its proper divisors (217737312).

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

130409088 is a wasteful number, since it uses less digits than its factorization.

130409088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 130409088 is about 11419.6798554075. The cubic root of 130409088 is about 507.1105190326.

The spelling of 130409088 in words is "one hundred thirty million, four hundred nine thousand, eighty-eight".