133825016 has 72 divisors (see below), whose sum is σ = 283481640. Its totient is φ = 59192640.

The previous prime is 133825009. The next prime is 133825051. The reversal of 133825016 is 610528331.

It is a super-3 number, since 3×133825016³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133825016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1299221 + ... + 1299323.

It is an arithmetic number, because the mean of its divisors is an integer number (3937245).

Almost surely, 2^133825016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133825016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740820).

133825016 is an abundant number, since it is smaller than the sum of its proper divisors (149656624).

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

133825016 is a wasteful number, since it uses less digits than its factorization.

133825016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 133825016 is about 11568.2762760923. The cubic root of 133825016 is about 511.5001530456.

The spelling of 133825016 in words is "one hundred thirty-three million, eight hundred twenty-five thousand, sixteen".