125504000 has 160 divisors (see below), whose sum is σ = 327474576. Its totient is φ = 47923200.

The previous prime is 125503997. The next prime is 125504003. The reversal of 125504000 is 405521.

It is an interprime number because it is at equal distance from previous prime (125503997) and next prime (125504003).

It can be written as a sum of positive squares in 8 ways, for example, as 31181056 + 94322944 = 5584^2 + 9712^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 125504000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125504003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367974 + ... + 2368026.

Almost surely, 2^125504000 is an apocalyptic number.

125504000 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 125504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163737288).

125504000 is an abundant number, since it is smaller than the sum of its proper divisors (201970576).

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

125504000 is an frugal number, since it uses more digits than its factorization.

125504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

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

The square root of 125504000 is about 11202.8567785186. The cubic root of 125504000 is about 500.6710988497.

Adding to 125504000 its reverse (405521), we get a palindrome (125909521).

The spelling of 125504000 in words is "one hundred twenty-five million, five hundred four thousand".