130917600 has 576 divisors, whose sum is σ = 562464000. Its totient is φ = 29030400.

The previous prime is 130917593. The next prime is 130917623. The reversal of 130917600 is 6719031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4514386 + ... + 4514414.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 2^130917600 is an apocalyptic number.

130917600 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 130917600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232000).

130917600 is an abundant number, since it is smaller than the sum of its proper divisors (431546400).

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

130917600 is a wasteful number, since it uses less digits than its factorization.

130917600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 130917600 is about 11441.9229153145. The cubic root of 130917600 is about 507.7687996635.

The spelling of 130917600 in words is "one hundred thirty million, nine hundred seventeen thousand, six hundred".