130829004252 has 72 divisors (see below), whose sum is σ = 343175728896. Its totient is φ = 43581606768.

The previous prime is 130829004211. The next prime is 130829004263. The reversal of 130829004252 is 252400928031.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 1496163 + ... + 1581189.

It is an arithmetic number, because the mean of its divisors is an integer number (4766329568).

Almost surely, 2^130829004252 is an apocalyptic number.

130829004252 is a gapful number since it is divisible by the number (12) 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 130829004252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171587864448).

130829004252 is an abundant number, since it is smaller than the sum of its proper divisors (212346724644).

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

130829004252 is a wasteful number, since it uses less digits than its factorization.

130829004252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86629 (or 86615 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 130829004252 in words is "one hundred thirty billion, eight hundred twenty-nine million, four thousand, two hundred fifty-two".