133648384 has 52 divisors (see below), whose sum is σ = 271810144. Its totient is φ = 65691648.

The previous prime is 133648369. The next prime is 133648399. The reversal of 133648384 is 483846331.

It is an interprime number because it is at equal distance from previous prime (133648369) and next prime (133648399).

It is a super-2 number, since 2×133648384² = 35723781091622912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 274189 + ... + 274675.

Almost surely, 2^133648384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135905072).

133648384 is an abundant number, since it is smaller than the sum of its proper divisors (138161760).

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

133648384 is an frugal number, since it uses more digits than its factorization.

133648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 556 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 133648384 is about 11560.6394286821. The cubic root of 133648384 is about 511.2750155840.

The spelling of 133648384 in words is "one hundred thirty-three million, six hundred forty-eight thousand, three hundred eighty-four".