125393000 has 64 divisors (see below), whose sum is σ = 301438800. Its totient is φ = 48787200.

The previous prime is 125392991. The next prime is 125393011. The reversal of 125393000 is 393521.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53787556 + 71605444 = 7334^2 + 8462^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35306 + ... + 38694.

Almost surely, 2^125393000 is an apocalyptic number.

125393000 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 125393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150719400).

125393000 is an abundant number, since it is smaller than the sum of its proper divisors (176045800).

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

125393000 is a wasteful number, since it uses less digits than its factorization.

125393000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 125393000 is about 11197.9015891371. The cubic root of 125393000 is about 500.5234518052.

The spelling of 125393000 in words is "one hundred twenty-five million, three hundred ninety-three thousand".