125862840 has 96 divisors (see below), whose sum is σ = 430606800. Its totient is φ = 31795200.

The previous prime is 125862839. The next prime is 125862853. The reversal of 125862840 is 48268521.

125862840 is a `hidden beast` number, since 1 + 25 + 8 + 628 + 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 = 125862795 and 125862804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2361 + ... + 16040.

Almost surely, 2^125862840 is an apocalyptic number.

125862840 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 125862840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215303400).

125862840 is an abundant number, since it is smaller than the sum of its proper divisors (304743960).

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

125862840 is a wasteful number, since it uses less digits than its factorization.

125862840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18437 (or 18430 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 125862840 is about 11218.8609047443. The cubic root of 125862840 is about 501.1478163523.

The spelling of 125862840 in words is "one hundred twenty-five million, eight hundred sixty-two thousand, eight hundred forty".