130989600 has 432 divisors, whose sum is σ = 555714432. Its totient is φ = 28385280.

The previous prime is 130989589. The next prime is 130989619. The reversal of 130989600 is 6989031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1159144 + ... + 1159256.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^130989600 is an apocalyptic number.

130989600 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 130989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

130989600 is an abundant number, since it is smaller than the sum of its proper divisors (424724832).

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

130989600 is a wasteful number, since it uses less digits than its factorization.

130989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 130989600 is about 11445.0688071326. The cubic root of 130989600 is about 507.8618675003.

It can be divided in two parts, 1309 and 89600, that added together give a palindrome (90909).

The spelling of 130989600 in words is "one hundred thirty million, nine hundred eighty-nine thousand, six hundred".