133498368 has 240 divisors, whose sum is σ = 424504080. Its totient is φ = 41803776.

The previous prime is 133498367. The next prime is 133498373. The reversal of 133498368 is 863894331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133498363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3608046 + ... + 3608082.

It is an arithmetic number, because the mean of its divisors is an integer number (1768767).

Almost surely, 2^133498368 is an apocalyptic number.

133498368 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 133498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212252040).

133498368 is an abundant number, since it is smaller than the sum of its proper divisors (291005712).

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

133498368 is an frugal number, since it uses more digits than its factorization.

133498368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 133498368 is about 11554.1493845285. The cubic root of 133498368 is about 511.0836473936.

It can be divided in two parts, 133 and 498368, that added together give a triangular number (498501 = T₉₉₈).

The spelling of 133498368 in words is "one hundred thirty-three million, four hundred ninety-eight thousand, three hundred sixty-eight".