125207264 has 192 divisors, whose sum is σ = 334172160. Its totient is φ = 44789760.

The previous prime is 125207249. The next prime is 125207267. The reversal of 125207264 is 462702521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125207267) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1715132 + ... + 1715204.

It is an arithmetic number, because the mean of its divisors is an integer number (1740480).

Almost surely, 2^125207264 is an apocalyptic number.

125207264 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 125207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167086080).

125207264 is an abundant number, since it is smaller than the sum of its proper divisors (208964896).

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

125207264 is a wasteful number, since it uses less digits than its factorization.

125207264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 125207264 is about 11189.6051762339. The cubic root of 125207264 is about 500.2761993997.

Adding to 125207264 its reverse (462702521), we get a palindrome (587909785).

The spelling of 125207264 in words is "one hundred twenty-five million, two hundred seven thousand, two hundred sixty-four".