129431664 has 60 divisors (see below), whose sum is σ = 363773592. Its totient is φ = 42960000.

The previous prime is 129431647. The next prime is 129431683. The reversal of 129431664 is 466134921.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34354 + ... + 37934.

Almost surely, 2^129431664 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 129431664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181886796).

129431664 is an abundant number, since it is smaller than the sum of its proper divisors (234341928).

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

129431664 is a wasteful number, since it uses less digits than its factorization.

129431664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3837 counting only the distinct ones).

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

The square root of 129431664 is about 11376.8037690733. The cubic root of 129431664 is about 505.8403991847.

The spelling of 129431664 in words is "one hundred twenty-nine million, four hundred thirty-one thousand, six hundred sixty-four".