129013632 has 96 divisors (see below), whose sum is σ = 405039960. Its totient is φ = 39091200.

The previous prime is 129013627. The next prime is 129013639. The reversal of 129013632 is 236310921.

129013632 is a `hidden beast` number, since 1 + 29 + 0 + 1 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 129013596 and 129013605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129013639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7582 + ... + 17762.

Almost surely, 2^129013632 is an apocalyptic number.

129013632 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 129013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202519980).

129013632 is an abundant number, since it is smaller than the sum of its proper divisors (276026328).

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

129013632 is a wasteful number, since it uses less digits than its factorization.

129013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 129013632 is about 11358.4167910849. The cubic root of 129013632 is about 505.2952323937.

The spelling of 129013632 in words is "one hundred twenty-nine million, thirteen thousand, six hundred thirty-two".