125525000 has 48 divisors (see below), whose sum is σ = 294238980. Its totient is φ = 50200000.

The previous prime is 125524981. The next prime is 125525027. The reversal of 125525000 is 525521.

It can be written as a sum of positive squares in 6 ways, for example, as 1737124 + 123787876 = 1318^2 + 11126^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22490 + ... + 27510.

Almost surely, 2^125525000 is an apocalyptic number.

125525000 is a gapful number since it is divisible by the number (10) 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 125525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147119490).

125525000 is an abundant number, since it is smaller than the sum of its proper divisors (168713980).

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

125525000 is an frugal number, since it uses more digits than its factorization.

125525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 125525000 is about 11203.7940002483. The cubic root of 125525000 is about 500.6990222803.

The spelling of 125525000 in words is "one hundred twenty-five million, five hundred twenty-five thousand".