125381280 has 192 divisors, whose sum is σ = 423698688. Its totient is φ = 31088640.

The previous prime is 125381233. The next prime is 125381287. The reversal of 125381280 is 82183521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (125381287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452502 + ... + 452778.

It is an arithmetic number, because the mean of its divisors is an integer number (2206764).

Almost surely, 2^125381280 is an apocalyptic number.

125381280 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 125381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211849344).

125381280 is an abundant number, since it is smaller than the sum of its proper divisors (298317408).

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

125381280 is a wasteful number, since it uses less digits than its factorization.

125381280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 125381280 is about 11197.3782645760. The cubic root of 125381280 is about 500.5078573206.

The spelling of 125381280 in words is "one hundred twenty-five million, three hundred eighty-one thousand, two hundred eighty".