125086500 has 432 divisors, whose sum is σ = 519232896. Its totient is φ = 24624000.

The previous prime is 125086499. The next prime is 125086501. The reversal of 125086500 is 5680521.

125086500 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 8 + 650 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125086499) and next prime (125086501).

It is not an unprimeable number, because it can be changed into a prime (125086501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6583491 + ... + 6583509.

It is an arithmetic number, because the mean of its divisors is an integer number (1201928).

Almost surely, 2^125086500 is an apocalyptic number.

125086500 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 125086500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259616448).

125086500 is an abundant number, since it is smaller than the sum of its proper divisors (394146396).

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

125086500 is a wasteful number, since it uses less digits than its factorization.

125086500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 125086500 is about 11184.2076160987. The cubic root of 125086500 is about 500.1153067400.

The spelling of 125086500 in words is "one hundred twenty-five million, eighty-six thousand, five hundred".