133039368 has 256 divisors, whose sum is σ = 486144000. Its totient is φ = 32659200.

The previous prime is 133039367. The next prime is 133039373. The reversal of 133039368 is 863930331.

It is a super-3 number, since 3×133039368³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133039367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315798 + ... + 316218.

It is an arithmetic number, because the mean of its divisors is an integer number (1899000).

Almost surely, 2^133039368 is an apocalyptic number.

133039368 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 133039368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243072000).

133039368 is an abundant number, since it is smaller than the sum of its proper divisors (353104632).

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

133039368 is a wasteful number, since it uses less digits than its factorization.

133039368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 133039368 is about 11534.2692876489. The cubic root of 133039368 is about 510.4972313231.

Adding to 133039368 its reverse (863930331), we get a palindrome (996969699).

The spelling of 133039368 in words is "one hundred thirty-three million, thirty-nine thousand, three hundred sixty-eight".