130639294800 has 1200 divisors, whose sum is σ = 586190195712. Its totient is φ = 27172454400.

The previous prime is 130639294789. The next prime is 130639294853. The reversal of 130639294800 is 8492936031.

It is a happy number.

130639294800 is a `hidden beast` number, since 1 + 3 + 0 + 639 + 2 + 9 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 119523054 + ... + 119524146.

Almost surely, 2^130639294800 is an apocalyptic number.

130639294800 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 130639294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293095097856).

130639294800 is an abundant number, since it is smaller than the sum of its proper divisors (455550900912).

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

130639294800 is a wasteful number, since it uses less digits than its factorization.

130639294800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 130639294800 in words is "one hundred thirty billion, six hundred thirty-nine million, two hundred ninety-four thousand, eight hundred".