130696800 has 288 divisors, whose sum is σ = 472469760. Its totient is φ = 31180800.

The previous prime is 130696793. The next prime is 130696861. The reversal of 130696800 is 8696031.

It is a super-3 number, since 3×130696800³ (a number of 25 digits) contains 333 as substring.

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, 1840765 + ... + 1840835.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^130696800 is an apocalyptic number.

130696800 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 130696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

130696800 is an abundant number, since it is smaller than the sum of its proper divisors (341772960).

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

130696800 is a wasteful number, since it uses less digits than its factorization.

130696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 130696800 is about 11432.2701157732. The cubic root of 130696800 is about 507.4831786832.

The spelling of 130696800 in words is "one hundred thirty million, six hundred ninety-six thousand, eight hundred".