125833152 has 56 divisors (see below), whose sum is σ = 341951056. Its totient is φ = 40808448.

The previous prime is 125833129. The next prime is 125833187. The reversal of 125833152 is 251338521.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1753 + ... + 15960.

Almost surely, 2^125833152 is an apocalyptic number.

125833152 is a gapful number since it is divisible by the number (12) 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 125833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170975528).

125833152 is an abundant number, since it is smaller than the sum of its proper divisors (216117904).

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

125833152 is a wasteful number, since it uses less digits than its factorization.

125833152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17765 (or 17755 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 125833152 is about 11217.5376977303. The cubic root of 125833152 is about 501.1084103705.

The spelling of 125833152 in words is "one hundred twenty-five million, eight hundred thirty-three thousand, one hundred fifty-two".