125325312 has 208 divisors, whose sum is σ = 402604032. Its totient is φ = 33914880.

The previous prime is 125325307. The next prime is 125325383. The reversal of 125325312 is 213523521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1800) is a multiple of the sum of its prime divisors (90).

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, 2666473 + ... + 2666519.

Almost surely, 2^125325312 is an apocalyptic number.

125325312 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 125325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201302016).

125325312 is an abundant number, since it is smaller than the sum of its proper divisors (277278720).

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

125325312 is an equidigital number, since it uses as much as digits as its factorization.

125325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 125325312 is about 11194.8788291790. The cubic root of 125325312 is about 500.4333735995.

Adding to 125325312 its reverse (213523521), we get a palindrome (338848833).

It can be divided in two parts, 1253 and 25312, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 125325312 in words is "one hundred twenty-five million, three hundred twenty-five thousand, three hundred twelve".