125540000 has 60 divisors (see below), whose sum is σ = 308896434. Its totient is φ = 50208000.

The previous prime is 125539993. The next prime is 125540021. The reversal of 125540000 is 45521.

It can be written as a sum of positive squares in 5 ways, for example, as 21418384 + 104121616 = 4628^2 + 10204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16862 + ... + 23138.

Almost surely, 2^125540000 is an apocalyptic number.

125540000 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 125540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154448217).

125540000 is an abundant number, since it is smaller than the sum of its proper divisors (183356434).

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

125540000 is an frugal number, since it uses more digits than its factorization.

125540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 125540000 is about 11204.4633963434. The cubic root of 125540000 is about 500.7189656812.

Adding to 125540000 its reverse (45521), we get a palindrome (125585521).

The spelling of 125540000 in words is "one hundred twenty-five million, five hundred forty thousand".