125817840 has 160 divisors (see below), whose sum is σ = 447590400. Its totient is φ = 32451840.

The previous prime is 125817817. The next prime is 125817841. The reversal of 125817840 is 48718521.

125817840 is a `hidden beast` number, since 1 + 2 + 581 + 78 + 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 = 125817795 and 125817804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125817841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66021 + ... + 67899.

It is an arithmetic number, because the mean of its divisors is an integer number (2797440).

Almost surely, 2^125817840 is an apocalyptic number.

125817840 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 125817840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223795200).

125817840 is an abundant number, since it is smaller than the sum of its proper divisors (321772560).

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

125817840 is a wasteful number, since it uses less digits than its factorization.

125817840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1920 counting only the distinct ones).

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

The square root of 125817840 is about 11216.8551742456. The cubic root of 125817840 is about 501.0880837632.

The spelling of 125817840 in words is "one hundred twenty-five million, eight hundred seventeen thousand, eight hundred forty".