125819824 has 120 divisors (see below), whose sum is σ = 290457600. Its totient is φ = 52565760.

The previous prime is 125819809. The next prime is 125819833. The reversal of 125819824 is 428918521.

It is a super-2 number, since 2×125819824² = 31661256222781952, which contains 22 as substring.

Its product of digits (46080) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1592617 + ... + 1592695.

It is an arithmetic number, because the mean of its divisors is an integer number (2420480).

Almost surely, 2^125819824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125819824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145228800).

125819824 is an abundant number, since it is smaller than the sum of its proper divisors (164637776).

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

125819824 is a wasteful number, since it uses less digits than its factorization.

125819824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its digits is 46080, while the sum is 40.

The square root of 125819824 is about 11216.9436122323. The cubic root of 125819824 is about 501.0907176068.

The spelling of 125819824 in words is "one hundred twenty-five million, eight hundred nineteen thousand, eight hundred twenty-four".