130987800 has 192 divisors, whose sum is σ = 457113600. Its totient is φ = 34473600.

The previous prime is 130987781. The next prime is 130987811. The reversal of 130987800 is 8789031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685705 + ... + 685895.

It is an arithmetic number, because the mean of its divisors is an integer number (2380800).

Almost surely, 2^130987800 is an apocalyptic number.

130987800 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 130987800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228556800).

130987800 is an abundant number, since it is smaller than the sum of its proper divisors (326125800).

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

130987800 is a wasteful number, since it uses less digits than its factorization.

130987800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 130987800 is about 11444.9901703759. The cubic root of 130987800 is about 507.8595412201.

The spelling of 130987800 in words is "one hundred thirty million, nine hundred eighty-seven thousand, eight hundred".