129953160 has 160 divisors (see below), whose sum is σ = 459993600. Its totient is φ = 32814720.

The previous prime is 129953137. The next prime is 129953171. The reversal of 129953160 is 61359921.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60505 + ... + 62615.

It is an arithmetic number, because the mean of its divisors is an integer number (2874960).

Almost surely, 2^129953160 is an apocalyptic number.

129953160 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 129953160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229996800).

129953160 is an abundant number, since it is smaller than the sum of its proper divisors (330040440).

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

129953160 is a wasteful number, since it uses less digits than its factorization.

129953160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 129953160 is about 11399.6999960525. The cubic root of 129953160 is about 506.5188530803.

The spelling of 129953160 in words is "one hundred twenty-nine million, nine hundred fifty-three thousand, one hundred sixty".