125829312 has 112 divisors (see below), whose sum is σ = 383023872. Its totient is φ = 35712000.

The previous prime is 125829307. The next prime is 125829331. The reversal of 125829312 is 213928521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

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, 337158 + ... + 337530.

It is an arithmetic number, because the mean of its divisors is an integer number (3419856).

Almost surely, 2^125829312 is an apocalyptic number.

125829312 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 125829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191511936).

125829312 is an abundant number, since it is smaller than the sum of its proper divisors (257194560).

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

125829312 is a wasteful number, since it uses less digits than its factorization.

125829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 125829312 is about 11217.3665358675. The cubic root of 125829312 is about 501.1033129437.

The spelling of 125829312 in words is "one hundred twenty-five million, eight hundred twenty-nine thousand, three hundred twelve".