133274001168 has 960 divisors, whose sum is σ = 502020440064. Its totient is φ = 32006016000.

The previous prime is 133274001163. The next prime is 133274001173. The reversal of 133274001168 is 861100472331.

It is a happy number.

133274001168 is a `hidden beast` number, since 133 + 2 + 7 + 400 + 116 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (133274001163) and next prime (133274001173).

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 (133274001163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1049401521 + ... + 1049401647.

Almost surely, 2^133274001168 is an apocalyptic number.

133274001168 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 133274001168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251010220032).

133274001168 is an abundant number, since it is smaller than the sum of its proper divisors (368746438896).

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

133274001168 is a wasteful number, since it uses less digits than its factorization.

133274001168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 133274001168 its reverse (861100472331), we get a palindrome (994374473499).

The spelling of 133274001168 in words is "one hundred thirty-three billion, two hundred seventy-four million, one thousand, one hundred sixty-eight".