125843920 has 40 divisors (see below), whose sum is σ = 295621704. Its totient is φ = 49815552.

The previous prime is 125843881. The next prime is 125843923. The reversal of 125843920 is 29348521.

It can be written as a sum of positive squares in 4 ways, for example, as 24720784 + 101123136 = 4972^2 + 10056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125843923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 349 + ... + 15868.

Almost surely, 2^125843920 is an apocalyptic number.

125843920 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 125843920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147810852).

125843920 is an abundant number, since it is smaller than the sum of its proper divisors (169777784).

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

125843920 is a wasteful number, since it uses less digits than its factorization.

125843920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16327 (or 16321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 125843920 is about 11218.0176501911. The cubic root of 125843920 is about 501.1227038520.

The spelling of 125843920 in words is "one hundred twenty-five million, eight hundred forty-three thousand, nine hundred twenty".