130888800 has 432 divisors, whose sum is σ = 548402400. Its totient is φ = 29352960.

The previous prime is 130888799. The next prime is 130888801. The reversal of 130888800 is 8888031.

It is an interprime number because it is at equal distance from previous prime (130888799) and next prime (130888801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130888801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2469574 + ... + 2469626.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^130888800 is an apocalyptic number.

130888800 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 130888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

130888800 is an abundant number, since it is smaller than the sum of its proper divisors (417513600).

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

130888800 is a wasteful number, since it uses less digits than its factorization.

130888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 130888800 is about 11440.6643163760. The cubic root of 130888800 is about 507.7315629744.

The spelling of 130888800 in words is "one hundred thirty million, eight hundred eighty-eight thousand, eight hundred".