125335332 has 72 divisors (see below), whose sum is σ = 329696640. Its totient is φ = 40098240.

The previous prime is 125335313. The next prime is 125335351. The reversal of 125335332 is 233533521.

125335332 is a `hidden beast` number, since 125 + 3 + 3 + 533 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (125335313) and next prime (125335351).

It is a junction number, because it is equal to n+sod(n) for n = 125335296 and 125335305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282703 + ... + 283145.

It is an arithmetic number, because the mean of its divisors is an integer number (4579120).

Almost surely, 2^125335332 is an apocalyptic number.

125335332 is a gapful number since it is divisible by the number (12) 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 125335332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164848320).

125335332 is an abundant number, since it is smaller than the sum of its proper divisors (204361308).

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

125335332 is a wasteful number, since it uses less digits than its factorization.

125335332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 125335332 is about 11195.3263462929. The cubic root of 125335332 is about 500.4467101146.

Adding to 125335332 its reverse (233533521), we get a palindrome (358868853).

It can be divided in two parts, 1253 and 35332, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 125335332 in words is "one hundred twenty-five million, three hundred thirty-five thousand, three hundred thirty-two".