125280000 has 360 divisors, whose sum is σ = 478909200. Its totient is φ = 32256000.

The previous prime is 125279989. The next prime is 125280013. The reversal of 125280000 is 82521.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319986 + ... + 4320014.

Almost surely, 2^125280000 is an apocalyptic number.

125280000 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 125280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239454600).

125280000 is an abundant number, since it is smaller than the sum of its proper divisors (353629200).

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

125280000 is an frugal number, since it uses more digits than its factorization.

125280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 125280000 is about 11192.8548637066. The cubic root of 125280000 is about 500.3730549242.

The spelling of 125280000 in words is "one hundred twenty-five million, two hundred eighty thousand".