129015264 has 96 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 36513792.

The previous prime is 129015259. The next prime is 129015319. The reversal of 129015264 is 462510921.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75087 + ... + 76785.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^129015264 is an apocalyptic number.

129015264 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 129015264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

129015264 is an abundant number, since it is smaller than the sum of its proper divisors (261685536).

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

129015264 is a wasteful number, since it uses less digits than its factorization.

129015264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 129015264 is about 11358.4886318559. The cubic root of 129015264 is about 505.2973630169.

The spelling of 129015264 in words is "one hundred twenty-nine million, fifteen thousand, two hundred sixty-four".