125849584 has 80 divisors (see below), whose sum is σ = 292489216. Its totient is φ = 51321600.

The previous prime is 125849573. The next prime is 125849611. The reversal of 125849584 is 485948521.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 232354 + ... + 232894.

Almost surely, 2^125849584 is an apocalyptic number.

125849584 is a gapful number since it is divisible by the number (14) 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 125849584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146244608).

125849584 is an abundant number, since it is smaller than the sum of its proper divisors (166639632).

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

125849584 is a wasteful number, since it uses less digits than its factorization.

125849584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The square root of 125849584 is about 11218.2700983708. The cubic root of 125849584 is about 501.1302219384.

The spelling of 125849584 in words is "one hundred twenty-five million, eight hundred forty-nine thousand, five hundred eighty-four".