125960640 has 112 divisors (see below), whose sum is σ = 430731168. Its totient is φ = 31002624.

The previous prime is 125960623. The next prime is 125960647. The reversal of 125960640 is 46069521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125960647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7434 + ... + 17526.

It is an arithmetic number, because the mean of its divisors is an integer number (3845814).

Almost surely, 2^125960640 is an apocalyptic number.

125960640 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 125960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215365584).

125960640 is an abundant number, since it is smaller than the sum of its proper divisors (304770528).

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

125960640 is a wasteful number, since it uses less digits than its factorization.

125960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10126 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 125960640 is about 11223.2187896343. The cubic root of 125960640 is about 501.2775861004.

The spelling of 125960640 in words is "one hundred twenty-five million, nine hundred sixty thousand, six hundred forty".