133681152 has 208 divisors, whose sum is σ = 415185408. Its totient is φ = 37847040.

The previous prime is 133681151. The next prime is 133681153. The reversal of 133681152 is 251186331.

It is an interprime number because it is at equal distance from previous prime (133681151) and next prime (133681153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133681151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3108843 + ... + 3108885.

Almost surely, 2^133681152 is an apocalyptic number.

133681152 is a gapful number since it is divisible by the number (12) 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 133681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207592704).

133681152 is an abundant number, since it is smaller than the sum of its proper divisors (281504256).

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

133681152 is a wasteful number, since it uses less digits than its factorization.

133681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 133681152 is about 11562.0565644698. The cubic root of 133681152 is about 511.3167970861.

The spelling of 133681152 in words is "one hundred thirty-three million, six hundred eighty-one thousand, one hundred fifty-two".