125783280 has 400 divisors, whose sum is σ = 518538240. Its totient is φ = 27661824.

The previous prime is 125783243. The next prime is 125783293. The reversal of 125783280 is 82387521.

125783280 is a `hidden beast` number, since 1 + 2 + 578 + 3 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 2131891 + ... + 2131949.

Almost surely, 2^125783280 is an apocalyptic number.

125783280 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 125783280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

125783280 is an abundant number, since it is smaller than the sum of its proper divisors (392754960).

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

125783280 is a wasteful number, since it uses less digits than its factorization.

125783280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 125783280 is about 11215.3145296955. The cubic root of 125783280 is about 501.0421994645.

The spelling of 125783280 in words is "one hundred twenty-five million, seven hundred eighty-three thousand, two hundred eighty".