125460240 has 80 divisors (see below), whose sum is σ = 398004288. Its totient is φ = 32675328.

The previous prime is 125460233. The next prime is 125460241. The reversal of 125460240 is 42064521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125460240.

It is not an unprimeable number, because it can be changed into a prime (125460241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4242 + ... + 16398.

Almost surely, 2^125460240 is an apocalyptic number.

125460240 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 125460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199002144).

125460240 is an abundant number, since it is smaller than the sum of its proper divisors (272544048).

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

125460240 is a wasteful number, since it uses less digits than its factorization.

125460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 12210 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 125460240 is about 11200.9035349832. The cubic root of 125460240 is about 500.6129017293.

The spelling of 125460240 in words is "one hundred twenty-five million, four hundred sixty thousand, two hundred forty".