125801280 has 378 divisors, whose sum is σ = 501966738. Its totient is φ = 28892160.

The previous prime is 125801251. The next prime is 125801287. The reversal of 125801280 is 82108521.

125801280 is a `hidden beast` number, since 1 + 2 + 580 + 1 + 2 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100641024 + 25160256 = 10032^2 + 5016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125801287) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6621111 + ... + 6621129.

Almost surely, 2^125801280 is an apocalyptic number.

125801280 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 125801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250983369).

125801280 is an abundant number, since it is smaller than the sum of its proper divisors (376165458).

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

125801280 is a wasteful number, since it uses less digits than its factorization.

125801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 125801280 is about 11216.1169751389. The cubic root of 125801280 is about 501.0660985854.

Multiplying 125801280 by its product of nonzero digits (1280), we get a square (161025638400 = 401280²).

The spelling of 125801280 in words is "one hundred twenty-five million, eight hundred one thousand, two hundred eighty".