125631360 has 192 divisors, whose sum is σ = 459697680. Its totient is φ = 31506432.

The previous prime is 125631353. The next prime is 125631361. The reversal of 125631360 is 63136521.

125631360 is a `hidden beast` number, since 1 + 25 + 631 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125631361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97279 + ... + 98561.

Almost surely, 2^125631360 is an apocalyptic number.

125631360 is a gapful number since it is divisible by the number (10) 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 125631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229848840).

125631360 is an abundant number, since it is smaller than the sum of its proper divisors (334066320).

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

125631360 is a wasteful number, since it uses less digits than its factorization.

125631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 125631360 is about 11208.5396015717. The cubic root of 125631360 is about 500.8403999976.

Adding to 125631360 its reverse (63136521), we get a palindrome (188767881).

The spelling of 125631360 in words is "one hundred twenty-five million, six hundred thirty-one thousand, three hundred sixty".