13129632 has 36 divisors (see below), whose sum is σ = 37338210. Its totient is φ = 4376448.

The previous prime is 13129607. The next prime is 13129639. The reversal of 13129632 is 23692131.

13129632 is a `hidden beast` number, since 1 + 3 + 1 + 29 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12362256 + 767376 = 3516^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13129596 and 13129605.

It is not an unprimeable number, because it can be changed into a prime (13129639) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22507 + ... + 23082.

Almost surely, 2^13129632 is an apocalyptic number.

13129632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13129632 is an abundant number, since it is smaller than the sum of its proper divisors (24208578).

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

13129632 is a wasteful number, since it uses less digits than its factorization.

13129632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45605 (or 45594 counting only the distinct ones).

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

The square root of 13129632 is about 3623.4834068890. The cubic root of 13129632 is about 235.9124447788.

It can be divided in two parts, 131296 and 32, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 13129632 in words is "thirteen million, one hundred twenty-nine thousand, six hundred thirty-two".