133721088 has 176 divisors, whose sum is σ = 393024000. Its totient is φ = 40255488.

The previous prime is 133721083. The next prime is 133721101. The reversal of 133721088 is 880127331.

It is a super-3 number, since 3×133721088³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133721083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692633 + ... + 1692711.

Almost surely, 2^133721088 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 133721088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196512000).

133721088 is an abundant number, since it is smaller than the sum of its proper divisors (259302912).

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

133721088 is a wasteful number, since it uses less digits than its factorization.

133721088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 133721088 is about 11563.7834639014. The cubic root of 133721088 is about 511.3677090613.

The spelling of 133721088 in words is "one hundred thirty-three million, seven hundred twenty-one thousand, eighty-eight".