130956600 has 96 divisors (see below), whose sum is σ = 410174640. Its totient is φ = 34560000.

The previous prime is 130956571. The next prime is 130956601. The reversal of 130956600 is 6659031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130956601) 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, 59520 + ... + 61680.

Almost surely, 2^130956600 is an apocalyptic number.

130956600 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 130956600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205087320).

130956600 is an abundant number, since it is smaller than the sum of its proper divisors (279218040).

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

130956600 is a wasteful number, since it uses less digits than its factorization.

130956600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 130956600 is about 11443.6270474007. The cubic root of 130956600 is about 507.8192156429.

The spelling of 130956600 in words is "one hundred thirty million, nine hundred fifty-six thousand, six hundred".