133969248 has 192 divisors, whose sum is σ = 473195520. Its totient is φ = 35997696.

The previous prime is 133969219. The next prime is 133969289. The reversal of 133969248 is 842969331.

It is a happy number.

133969248 is a `hidden beast` number, since 13 + 396 + 9 + 248 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102165 + ... + 103467.

It is an arithmetic number, because the mean of its divisors is an integer number (2464560).

Almost surely, 2^133969248 is an apocalyptic number.

133969248 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 133969248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236597760).

133969248 is an abundant number, since it is smaller than the sum of its proper divisors (339226272).

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

133969248 is a wasteful number, since it uses less digits than its factorization.

133969248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1332 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 133969248 is about 11574.5085424825. The cubic root of 133969248 is about 511.6838461601.

The spelling of 133969248 in words is "one hundred thirty-three million, nine hundred sixty-nine thousand, two hundred forty-eight".