125900248320 has 2304 divisors, whose sum is σ = 620507381760. Its totient is φ = 23551672320.

The previous prime is 125900248249. The next prime is 125900248367. The reversal of 125900248320 is 23842009521.

It is a happy number.

125900248320 is a `hidden beast` number, since 1 + 2 + 5 + 90 + 0 + 248 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5473923829 + ... + 5473923851.

It is an arithmetic number, because the mean of its divisors is an integer number (269317440).

Almost surely, 2^125900248320 is an apocalyptic number.

125900248320 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 125900248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310253690880).

125900248320 is an abundant number, since it is smaller than the sum of its proper divisors (494607133440).

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

125900248320 is a wasteful number, since it uses less digits than its factorization.

125900248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 125900248320 in words is "one hundred twenty-five billion, nine hundred million, two hundred forty-eight thousand, three hundred twenty".