125081600 has 144 divisors (see below), whose sum is σ = 355446000. Its totient is φ = 42762240.

The previous prime is 125081587. The next prime is 125081633. The reversal of 125081600 is 6180521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358226 + ... + 358574.

It is an arithmetic number, because the mean of its divisors is an integer number (2468375).

Almost surely, 2^125081600 is an apocalyptic number.

125081600 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 125081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177723000).

125081600 is an abundant number, since it is smaller than the sum of its proper divisors (230364400).

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

125081600 is an equidigital number, since it uses as much as digits as its factorization.

125081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 125081600 is about 11183.9885550728. The cubic root of 125081600 is about 500.1087763337.

The spelling of 125081600 in words is "one hundred twenty-five million, eighty-one thousand, six hundred".