125303640 has 256 divisors, whose sum is σ = 477757440. Its totient is φ = 25536000.

The previous prime is 125303621. The next prime is 125303641. The reversal of 125303640 is 46303521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125303640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125303641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655945 + ... + 656135.

It is an arithmetic number, because the mean of its divisors is an integer number (1866240).

Almost surely, 2^125303640 is an apocalyptic number.

125303640 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 125303640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238878720).

125303640 is an abundant number, since it is smaller than the sum of its proper divisors (352453800).

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

125303640 is a wasteful number, since it uses less digits than its factorization.

125303640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 125303640 is about 11193.9108447405. The cubic root of 125303640 is about 500.4045259626.

The spelling of 125303640 in words is "one hundred twenty-five million, three hundred three thousand, six hundred forty".