Search a number
-
+
133575156 = 22351113312
BaseRepresentation
bin1111111011000…
…11000111110100
3100022100022200000
413331203013310
5233143401111
621130551300
73211240641
oct775430764
9308308600
10133575156
1169443aa0
1238898530
132189ab70
1413a50dc8
15bad7c56
hex7f631f4

133575156 has 216 divisors, whose sum is σ = 425067552. Its totient is φ = 36158400.

The previous prime is 133575133. The next prime is 133575161. The reversal of 133575156 is 651575331.

133575156 is a `hidden beast` number, since 1 + 33 + 575 + 1 + 56 = 666.

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

Its product of digits (47250) is a multiple of the sum of its prime factors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 133575156.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4308861 + ... + 4308891.

Almost surely, 2133575156 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 133575156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212533776).

133575156 is an abundant number, since it is smaller than the sum of its proper divisors (291492396).

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

133575156 is a wasteful number, since it uses less digits than its factorization.

133575156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 133575156 is about 11557.4718688821. The cubic root of 133575156 is about 511.1816200493.

The spelling of 133575156 in words is "one hundred thirty-three million, five hundred seventy-five thousand, one hundred fifty-six".