125584848 has 180 divisors, whose sum is σ = 391730508. Its totient is φ = 37416960.

The previous prime is 125584847. The next prime is 125584861. The reversal of 125584848 is 848485521.

125584848 is a `hidden beast` number, since 1 + 25 + 584 + 8 + 48 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2108304 + 123476544 = 1452^2 + 11112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125584841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2058738 + ... + 2058798.

Almost surely, 2^125584848 is an apocalyptic number.

125584848 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 125584848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195865254).

125584848 is an abundant number, since it is smaller than the sum of its proper divisors (266145660).

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

125584848 is a wasteful number, since it uses less digits than its factorization.

125584848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 125584848 is about 11206.4645629208. The cubic root of 125584848 is about 500.7785843170.

The spelling of 125584848 in words is "one hundred twenty-five million, five hundred eighty-four thousand, eight hundred forty-eight".