125270880 has 192 divisors, whose sum is σ = 470873088. Its totient is φ = 27371520.

The previous prime is 125270861. The next prime is 125270891. The reversal of 125270880 is 88072521.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 76470 + ... + 78090.

It is an arithmetic number, because the mean of its divisors is an integer number (2452464).

Almost surely, 2^125270880 is an apocalyptic number.

125270880 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 125270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235436544).

125270880 is an abundant number, since it is smaller than the sum of its proper divisors (345602208).

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

125270880 is a wasteful number, since it uses less digits than its factorization.

125270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 125270880 is about 11192.4474535287. The cubic root of 125270880 is about 500.3609127546.

The spelling of 125270880 in words is "one hundred twenty-five million, two hundred seventy thousand, eight hundred eighty".