125333208 has 384 divisors, whose sum is σ = 478033920. Its totient is φ = 28615680.

The previous prime is 125333207. The next prime is 125333209. The reversal of 125333208 is 802333521.

125333208 is a `hidden beast` number, since 125 + 333 + 208 = 666.

It is an interprime number because it is at equal distance from previous prime (125333207) and next prime (125333209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125333207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2666641 + ... + 2666687.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^125333208 is an apocalyptic number.

125333208 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 125333208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

125333208 is an abundant number, since it is smaller than the sum of its proper divisors (352700712).

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

125333208 is a wasteful number, since it uses less digits than its factorization.

125333208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 125333208 is about 11195.2314848778. The cubic root of 125333208 is about 500.4438831522.

Adding to 125333208 its reverse (802333521), we get a palindrome (927666729).

It can be divided in two parts, 125 and 333208, that added together give a palindrome (333333).

The spelling of 125333208 in words is "one hundred twenty-five million, three hundred thirty-three thousand, two hundred eight".