130906800 has 480 divisors, whose sum is σ = 531394560. Its totient is φ = 30412800.

The previous prime is 130906799. The next prime is 130906819. The reversal of 130906800 is 8609031.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4222785 + ... + 4222815.

It is an arithmetic number, because the mean of its divisors is an integer number (1107072).

Almost surely, 2^130906800 is an apocalyptic number.

130906800 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 130906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265697280).

130906800 is an abundant number, since it is smaller than the sum of its proper divisors (400487760).

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

130906800 is a wasteful number, since it uses less digits than its factorization.

130906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130906800 is about 11441.4509569372. The cubic root of 130906800 is about 507.7548365451.

The spelling of 130906800 in words is "one hundred thirty million, nine hundred six thousand, eight hundred".