125335728 has 240 divisors, whose sum is σ = 434257920. Its totient is φ = 34473600.

The previous prime is 125335711. The next prime is 125335741. The reversal of 125335728 is 827533521.

It is a happy number.

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 = 125335692 and 125335701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656113 + ... + 656303.

It is an arithmetic number, because the mean of its divisors is an integer number (1809408).

Almost surely, 2^125335728 is an apocalyptic number.

125335728 is a gapful number since it is divisible by the number (18) 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 125335728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217128960).

125335728 is an abundant number, since it is smaller than the sum of its proper divisors (308922192).

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

125335728 is a wasteful number, since it uses less digits than its factorization.

125335728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 125335728 is about 11195.3440322305. The cubic root of 125335728 is about 500.4472371719.

The spelling of 125335728 in words is "one hundred twenty-five million, three hundred thirty-five thousand, seven hundred twenty-eight".