130981200 has 240 divisors, whose sum is σ = 495968256. Its totient is φ = 28915200.

The previous prime is 130981189. The next prime is 130981219. The reversal of 130981200 is 2189031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 260149 + ... + 260651.

Almost surely, 2^130981200 is an apocalyptic number.

130981200 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 130981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247984128).

130981200 is an abundant number, since it is smaller than the sum of its proper divisors (364987056).

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

130981200 is a wasteful number, since it uses less digits than its factorization.

130981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 130981200 is about 11444.7018309784. The cubic root of 130981200 is about 507.8510113436.

The spelling of 130981200 in words is "one hundred thirty million, nine hundred eighty-one thousand, two hundred".