125701264 has 80 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 51701760.

The previous prime is 125701253. The next prime is 125701271. The reversal of 125701264 is 462107521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66249 + ... + 68119.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^125701264 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 125701264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

125701264 is an abundant number, since it is smaller than the sum of its proper divisors (166780016).

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

125701264 is a wasteful number, since it uses less digits than its factorization.

125701264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 125701264 is about 11211.6575045798. The cubic root of 125701264 is about 500.9332755762.

Adding to 125701264 its reverse (462107521), we get a palindrome (587808785).

The spelling of 125701264 in words is "one hundred twenty-five million, seven hundred one thousand, two hundred sixty-four".