125026000 has 80 divisors (see below), whose sum is σ = 329853888. Its totient is φ = 45456000.

The previous prime is 125025991. The next prime is 125026001. The reversal of 125026000 is 620521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125026001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19159 + ... + 24841.

Almost surely, 2^125026000 is an apocalyptic number.

125026000 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 125026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164926944).

125026000 is an abundant number, since it is smaller than the sum of its proper divisors (204827888).

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

125026000 is a wasteful number, since it uses less digits than its factorization.

125026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 125026000 is about 11181.5025823903. The cubic root of 125026000 is about 500.0346642634.

Adding to 125026000 its reverse (620521), we get a palindrome (125646521).

The spelling of 125026000 in words is "one hundred twenty-five million, twenty-six thousand".