130829364 has 96 divisors (see below), whose sum is σ = 361088000. Its totient is φ = 40847328.

The previous prime is 130829351. The next prime is 130829371. The reversal of 130829364 is 463928031.

130829364 is a `hidden beast` number, since 1 + 308 + 293 + 64 = 666.

It is a super-3 number, since 3×130829364³ (a number of 25 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211047 + ... + 211665.

Almost surely, 2^130829364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130829364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180544000).

130829364 is an abundant number, since it is smaller than the sum of its proper divisors (230258636).

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

130829364 is a wasteful number, since it uses less digits than its factorization.

130829364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 130829364 is about 11438.0664449897. The cubic root of 130829364 is about 507.6546984855.

The spelling of 130829364 in words is "one hundred thirty million, eight hundred twenty-nine thousand, three hundred sixty-four".