125313444360 has 1280 divisors, whose sum is σ = 517241894400. Its totient is φ = 26873856000.

The previous prime is 125313444323. The next prime is 125313444367. The reversal of 125313444360 is 63444313521.

125313444360 is a `hidden beast` number, since 1 + 25 + 3 + 134 + 443 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125313444367) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 829890285 + ... + 829890435.

It is an arithmetic number, because the mean of its divisors is an integer number (404095230).

Almost surely, 2^125313444360 is an apocalyptic number.

125313444360 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 125313444360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258620947200).

125313444360 is an abundant number, since it is smaller than the sum of its proper divisors (391928450040).

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

125313444360 is a wasteful number, since it uses less digits than its factorization.

125313444360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 125313444360 its reverse (63444313521), we get a palindrome (188757757881).

The spelling of 125313444360 in words is "one hundred twenty-five billion, three hundred thirteen million, four hundred forty-four thousand, three hundred sixty".