125317440 has 168 divisors, whose sum is σ = 439707528. Its totient is φ = 32747520.

The previous prime is 125317433. The next prime is 125317441. The reversal of 125317440 is 44713521.

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 113039424 = 3504^2 + 10632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125317441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152230 + ... + 153050.

Almost surely, 2^125317440 is an apocalyptic number.

125317440 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 125317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219853764).

125317440 is an abundant number, since it is smaller than the sum of its proper divisors (314390088).

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

125317440 is a wasteful number, since it uses less digits than its factorization.

125317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125317440 is about 11194.5272343230. The cubic root of 125317440 is about 500.4228955512.

The spelling of 125317440 in words is "one hundred twenty-five million, three hundred seventeen thousand, four hundred forty".