125068320 has 384 divisors, whose sum is σ = 502951680. Its totient is φ = 28753920.

The previous prime is 125068289. The next prime is 125068357. The reversal of 125068320 is 23860521.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 954655 + ... + 954785.

It is an arithmetic number, because the mean of its divisors is an integer number (1309770).

Almost surely, 2^125068320 is an apocalyptic number.

125068320 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 125068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251475840).

125068320 is an abundant number, since it is smaller than the sum of its proper divisors (377883360).

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

125068320 is a wasteful number, since it uses less digits than its factorization.

125068320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125068320 is about 11183.3948334126. The cubic root of 125068320 is about 500.0910767424.

The spelling of 125068320 in words is "one hundred twenty-five million, sixty-eight thousand, three hundred twenty".