129393264 has 160 divisors (see below), whose sum is σ = 448971264. Its totient is φ = 31011840.

The previous prime is 129393263. The next prime is 129393283. The reversal of 129393264 is 462393921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129393263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46702 + ... + 49394.

Almost surely, 2^129393264 is an apocalyptic number.

129393264 is a gapful number since it is divisible by the number (14) 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 129393264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224485632).

129393264 is an abundant number, since it is smaller than the sum of its proper divisors (319578000).

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

129393264 is a wasteful number, since it uses less digits than its factorization.

129393264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2729 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 129393264 is about 11375.1159994085. The cubic root of 129393264 is about 505.7903697148.

It can be divided in two parts, 129 and 393264, that added together give a palindrome (393393).

The spelling of 129393264 in words is "one hundred twenty-nine million, three hundred ninety-three thousand, two hundred sixty-four".