125487648 has 216 divisors, whose sum is σ = 423943884. Its totient is φ = 34974720.

The previous prime is 125487619. The next prime is 125487689. The reversal of 125487648 is 846784521.

125487648 is a `hidden beast` number, since 125 + 487 + 6 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108743184 + 16744464 = 10428^2 + 4092^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 452886 + ... + 453162.

Almost surely, 2^125487648 is an apocalyptic number.

125487648 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 125487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211971942).

125487648 is an abundant number, since it is smaller than the sum of its proper divisors (298456236).

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

125487648 is a wasteful number, since it uses less digits than its factorization.

125487648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 125487648 is about 11202.1269408983. The cubic root of 125487648 is about 500.6493536479.

The spelling of 125487648 in words is "one hundred twenty-five million, four hundred eighty-seven thousand, six hundred forty-eight".