125900640 has 288 divisors, whose sum is σ = 470564640. Its totient is φ = 30523392.

The previous prime is 125900633. The next prime is 125900647. The reversal of 125900640 is 46009521.

125900640 is a `hidden beast` number, since 12 + 5 + 9 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (125900633) and next prime (125900647).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125900647) 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 47 ways as a sum of consecutive naturals, for example, 905691 + ... + 905829.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^125900640 is an apocalyptic number.

125900640 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 125900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

125900640 is an abundant number, since it is smaller than the sum of its proper divisors (344664000).

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

125900640 is a wasteful number, since it uses less digits than its factorization.

125900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 125900640 is about 11220.5454412876. The cubic root of 125900640 is about 501.1979807253.

The spelling of 125900640 in words is "one hundred twenty-five million, nine hundred thousand, six hundred forty".