125777280 has 128 divisors (see below), whose sum is σ = 405266400. Its totient is φ = 33177600.

The previous prime is 125777233. The next prime is 125777293. The reversal of 125777280 is 82777521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208980 + ... + 209580.

Almost surely, 2^125777280 is an apocalyptic number.

125777280 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 125777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202633200).

125777280 is an abundant number, since it is smaller than the sum of its proper divisors (279489120).

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

125777280 is a wasteful number, since it uses less digits than its factorization.

125777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 125777280 is about 11215.0470351221. The cubic root of 125777280 is about 501.0342325843.

The spelling of 125777280 in words is "one hundred twenty-five million, seven hundred seventy-seven thousand, two hundred eighty".