133001352 has 160 divisors (see below), whose sum is σ = 416085120. Its totient is φ = 39346560.

The previous prime is 133001329. The next prime is 133001369. The reversal of 133001352 is 253100331.

133001352 is a `hidden beast` number, since 13 + 300 + 1 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334818 + ... + 335214.

It is an arithmetic number, because the mean of its divisors is an integer number (2600532).

Almost surely, 2^133001352 is an apocalyptic number.

133001352 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 133001352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208042560).

133001352 is an abundant number, since it is smaller than the sum of its proper divisors (283083768).

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

133001352 is a wasteful number, since it uses less digits than its factorization.

133001352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133001352 is about 11532.6212111558. The cubic root of 133001352 is about 510.4486018288.

Adding to 133001352 its reverse (253100331), we get a palindrome (386101683).

The spelling of 133001352 in words is "one hundred thirty-three million, one thousand, three hundred fifty-two".