130251600 has 180 divisors, whose sum is σ = 457893436. Its totient is φ = 34283520.

The previous prime is 130251587. The next prime is 130251607. The reversal of 130251600 is 6152031.

130251600 is a `hidden beast` number, since 13 + 0 + 2 + 51 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2742336 + 127509264 = 1656^2 + 11292^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130251607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349014 + ... + 349386.

Almost surely, 2^130251600 is an apocalyptic number.

130251600 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 130251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228946718).

130251600 is an abundant number, since it is smaller than the sum of its proper divisors (327641836).

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

130251600 is a wasteful number, since it uses less digits than its factorization.

130251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130251600 is about 11412.7823075708. The cubic root of 130251600 is about 506.9063001567.

The spelling of 130251600 in words is "one hundred thirty million, two hundred fifty-one thousand, six hundred".