130969800 has 288 divisors, whose sum is σ = 492546600. Its totient is φ = 30965760.

The previous prime is 130969799. The next prime is 130969801. The reversal of 130969800 is 8969031.

It is an interprime number because it is at equal distance from previous prime (130969799) and next prime (130969801).

It can be written as a sum of positive squares in 12 ways, for example, as 599076 + 130370724 = 774^2 + 11418^2 .

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

It is not an unprimeable number, because it can be changed into a prime (130969801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 678504 + ... + 678696.

Almost surely, 2^130969800 is an apocalyptic number.

130969800 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 130969800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246273300).

130969800 is an abundant number, since it is smaller than the sum of its proper divisors (361576800).

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

130969800 is a wasteful number, since it uses less digits than its factorization.

130969800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

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

The square root of 130969800 is about 11444.2037730897. The cubic root of 130969800 is about 507.8362772456.

It can be divided in two parts, 130969 and 800, that added together give a square (131769 = 363²).

The spelling of 130969800 in words is "one hundred thirty million, nine hundred sixty-nine thousand, eight hundred".