125648388 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 40678560.

The previous prime is 125648357. The next prime is 125648389. The reversal of 125648388 is 883846521.

125648388 is a `hidden beast` number, since 1 + 2 + 564 + 8 + 3 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (125648389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959083 + ... + 959213.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^125648388 is an apocalyptic number.

125648388 is a gapful number since it is divisible by the number (18) 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 125648388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

125648388 is an abundant number, since it is smaller than the sum of its proper divisors (209652732).

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

125648388 is a wasteful number, since it uses less digits than its factorization.

125648388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 125648388 is about 11209.2991752384. The cubic root of 125648388 is about 500.8630268456.

The spelling of 125648388 in words is "one hundred twenty-five million, six hundred forty-eight thousand, three hundred eighty-eight".