125914500 has 120 divisors (see below), whose sum is σ = 410930520. Its totient is φ = 33566400.

The previous prime is 125914499. The next prime is 125914541. The reversal of 125914500 is 5419521.

125914500 is a `hidden beast` number, since 125 + 91 + 450 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18045504 + 107868996 = 4248^2 + 10386^2 .

It is a super-2 number, since 2×125914500² = 31708922620500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 38946 + ... + 42054.

It is an arithmetic number, because the mean of its divisors is an integer number (3424421).

Almost surely, 2^125914500 is an apocalyptic number.

125914500 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 125914500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205465260).

125914500 is an abundant number, since it is smaller than the sum of its proper divisors (285016020).

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

125914500 is a wasteful number, since it uses less digits than its factorization.

125914500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 125914500 is about 11221.1630413251. The cubic root of 125914500 is about 501.2163718130.

The spelling of 125914500 in words is "one hundred twenty-five million, nine hundred fourteen thousand, five hundred".