133486848 has 216 divisors, whose sum is σ = 440032320. Its totient is φ = 38522880.

The previous prime is 133486819. The next prime is 133486877. The reversal of 133486848 is 848684331.

It is an interprime number because it is at equal distance from previous prime (133486819) and next prime (133486877).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582798 + ... + 583026.

Almost surely, 2^133486848 is an apocalyptic number.

133486848 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 133486848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220016160).

133486848 is an abundant number, since it is smaller than the sum of its proper divisors (306545472).

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

133486848 is a wasteful number, since it uses less digits than its factorization.

133486848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 133486848 is about 11553.6508515707. The cubic root of 133486848 is about 511.0689459580.

The spelling of 133486848 in words is "one hundred thirty-three million, four hundred eighty-six thousand, eight hundred forty-eight".