125729280 has 320 divisors, whose sum is σ = 477290880. Its totient is φ = 31260672.

The previous prime is 125729267. The next prime is 125729281. The reversal of 125729280 is 82927521.

125729280 is a `hidden beast` number, since 1 + 2 + 572 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (125729281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174987 + ... + 1175093.

It is an arithmetic number, because the mean of its divisors is an integer number (1491534).

Almost surely, 2^125729280 is an apocalyptic number.

125729280 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 125729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238645440).

125729280 is an abundant number, since it is smaller than the sum of its proper divisors (351561600).

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

125729280 is a wasteful number, since it uses less digits than its factorization.

125729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125729280 is about 11212.9068488060. The cubic root of 125729280 is about 500.9704884191.

The spelling of 125729280 in words is "one hundred twenty-five million, seven hundred twenty-nine thousand, two hundred eighty".