125528850 has 144 divisors (see below), whose sum is σ = 364295880. Its totient is φ = 30873600.

The previous prime is 125528807. The next prime is 125528873. The reversal of 125528850 is 58825521.

125528850 is a `hidden beast` number, since 125 + 528 + 8 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3448449 + 122080401 = 1857^2 + 11049^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466516 + ... + 466784.

Almost surely, 2^125528850 is an apocalyptic number.

125528850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125528850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182147940).

125528850 is an abundant number, since it is smaller than the sum of its proper divisors (238767030).

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

125528850 is a wasteful number, since it uses less digits than its factorization.

125528850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 125528850 is about 11203.9658157279. The cubic root of 125528850 is about 500.7041412381.

The spelling of 125528850 in words is "one hundred twenty-five million, five hundred twenty-eight thousand, eight hundred fifty".