125590500 has 240 divisors, whose sum is σ = 469332864. Its totient is φ = 28641600.

The previous prime is 125590499. The next prime is 125590519. The reversal of 125590500 is 5095521.

125590500 is a `hidden beast` number, since 1 + 25 + 590 + 50 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 283279 + ... + 283721.

Almost surely, 2^125590500 is an apocalyptic number.

125590500 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 125590500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234666432).

125590500 is an abundant number, since it is smaller than the sum of its proper divisors (343742364).

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

125590500 is a wasteful number, since it uses less digits than its factorization.

125590500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 125590500 is about 11206.7167359579. The cubic root of 125590500 is about 500.7860967893.

The spelling of 125590500 in words is "one hundred twenty-five million, five hundred ninety thousand, five hundred".