125589240 has 384 divisors, whose sum is σ = 510681600. Its totient is φ = 26127360.

The previous prime is 125589187. The next prime is 125589241. The reversal of 125589240 is 42985521.

125589240 is a `hidden beast` number, since 12 + 558 + 92 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125589195 and 125589204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125589241) 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 95 ways as a sum of consecutive naturals, for example, 2058810 + ... + 2058870.

It is an arithmetic number, because the mean of its divisors is an integer number (1329900).

Almost surely, 2^125589240 is an apocalyptic number.

125589240 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 125589240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255340800).

125589240 is an abundant number, since it is smaller than the sum of its proper divisors (385092360).

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

125589240 is a wasteful number, since it uses less digits than its factorization.

125589240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 125589240 is about 11206.6605195303. The cubic root of 125589240 is about 500.7844220539.

The spelling of 125589240 in words is "one hundred twenty-five million, five hundred eighty-nine thousand, two hundred forty".