125441936 has 40 divisors (see below), whose sum is σ = 252420600. Its totient is φ = 60318720.

The previous prime is 125441923. The next prime is 125441983. The reversal of 125441936 is 639144521.

It can be written as a sum of positive squares in 4 ways, for example, as 65286400 + 60155536 = 8080^2 + 7756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125441896 and 125441905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189446 + ... + 190106.

It is an arithmetic number, because the mean of its divisors is an integer number (6310515).

Almost surely, 2^125441936 is an apocalyptic number.

125441936 is a gapful number since it is divisible by the number (16) 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 125441936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126210300).

125441936 is an abundant number, since it is smaller than the sum of its proper divisors (126978664).

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

125441936 is a wasteful number, since it uses less digits than its factorization.

125441936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 125441936 is about 11200.0864282380. The cubic root of 125441936 is about 500.5885549343.

It can be divided in two parts, 12544 and 1936, that multiplied together give a square (24285184 = 4928²).

The spelling of 125441936 in words is "one hundred twenty-five million, four hundred forty-one thousand, nine hundred thirty-six".