130825183104 has 1024 divisors, whose sum is σ = 501350400000. Its totient is φ = 33286256640.

The previous prime is 130825183081. The next prime is 130825183109. The reversal of 130825183104 is 401381528031.

130825183104 is a `hidden beast` number, since 1 + 30 + 8 + 2 + 518 + 3 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130825183109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1030119489 + ... + 1030119615.

It is an arithmetic number, because the mean of its divisors is an integer number (489600000).

Almost surely, 2^130825183104 is an apocalyptic number.

130825183104 is a gapful number since it is divisible by the number (14) 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 130825183104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250675200000).

130825183104 is an abundant number, since it is smaller than the sum of its proper divisors (370525216896).

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

130825183104 is a wasteful number, since it uses less digits than its factorization.

130825183104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 130825183104 in words is "one hundred thirty billion, eight hundred twenty-five million, one hundred eighty-three thousand, one hundred four".