125718480 has 240 divisors, whose sum is σ = 454970880. Its totient is φ = 32223744.

The previous prime is 125718457. The next prime is 125718487. The reversal of 125718480 is 84817521.

125718480 is a `hidden beast` number, since 1 + 2 + 571 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125718487) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 563649 + ... + 563871.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^125718480 is an apocalyptic number.

125718480 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 125718480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

125718480 is an abundant number, since it is smaller than the sum of its proper divisors (329252400).

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

125718480 is a wasteful number, since it uses less digits than its factorization.

125718480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 125718480 is about 11212.4252505870. The cubic root of 125718480 is about 500.9561437461.

The spelling of 125718480 in words is "one hundred twenty-five million, seven hundred eighteen thousand, four hundred eighty".