125259840 has 336 divisors, whose sum is σ = 471684096. Its totient is φ = 30412800.

The previous prime is 125259821. The next prime is 125259881. The reversal of 125259840 is 48952521.

125259840 is a `hidden beast` number, since 1 + 2 + 525 + 98 + 40 = 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 = 125259795 and 125259804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053410 + ... + 2053470.

Almost surely, 2^125259840 is an apocalyptic number.

125259840 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 125259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235842048).

125259840 is an abundant number, since it is smaller than the sum of its proper divisors (346424256).

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

125259840 is a wasteful number, since it uses less digits than its factorization.

125259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

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

The square root of 125259840 is about 11191.9542529444. The cubic root of 125259840 is about 500.3462135504.

The spelling of 125259840 in words is "one hundred twenty-five million, two hundred fifty-nine thousand, eight hundred forty".