133152768 has 240 divisors, whose sum is σ = 461359360. Its totient is φ = 37158912.

The previous prime is 133152749. The next prime is 133152787. The reversal of 133152768 is 867251331.

It is an interprime number because it is at equal distance from previous prime (133152749) and next prime (133152787).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096555 + ... + 3096597.

Almost surely, 2^133152768 is an apocalyptic number.

133152768 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 133152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230679680).

133152768 is an abundant number, since it is smaller than the sum of its proper divisors (328206592).

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

133152768 is an frugal number, since it uses more digits than its factorization.

133152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 133152768 is about 11539.1840266112. The cubic root of 133152768 is about 510.6422358845.

The spelling of 133152768 in words is "one hundred thirty-three million, one hundred fifty-two thousand, seven hundred sixty-eight".