125305344 has 120 divisors (see below), whose sum is σ = 367690752. Its totient is φ = 41072640.

The previous prime is 125305333. The next prime is 125305363. The reversal of 125305344 is 443503521.

125305344 is a `hidden beast` number, since 12 + 5 + 305 + 344 = 666.

It is a super-3 number, since 3×125305344³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326977 + ... + 327359.

Almost surely, 2^125305344 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 125305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845376).

125305344 is an abundant number, since it is smaller than the sum of its proper divisors (242385408).

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

125305344 is an equidigital number, since it uses as much as digits as its factorization.

125305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 125305344 is about 11193.9869572910. The cubic root of 125305344 is about 500.4067942804.

Adding to 125305344 its reverse (443503521), we get a palindrome (568808865).

The spelling of 125305344 in words is "one hundred twenty-five million, three hundred five thousand, three hundred forty-four".