130465600 has 84 divisors (see below), whose sum is σ = 325715884. Its totient is φ = 51425280.

The previous prime is 130465597. The next prime is 130465603. The reversal of 130465600 is 6564031.

It is an interprime number because it is at equal distance from previous prime (130465597) and next prime (130465603).

It can be written as a sum of positive squares in 6 ways, for example, as 19289664 + 111175936 = 4392^2 + 10544^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130465603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116242 + ... + 117358.

Almost surely, 2^130465600 is an apocalyptic number.

130465600 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 130465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162857942).

130465600 is an abundant number, since it is smaller than the sum of its proper divisors (195250284).

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

130465600 is a wasteful number, since it uses less digits than its factorization.

130465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 130465600 is about 11422.1539124633. The cubic root of 130465600 is about 507.1837595599.

The spelling of 130465600 in words is "one hundred thirty million, four hundred sixty-five thousand, six hundred".