Search a number
-
+
133532000 = 2553719251
BaseRepresentation
bin1111111010110…
…00100101100000
3100022021010110122
413331120211200
5233141011000
621130015412
73211001060
oct775304540
9308233418
10133532000
1169414628
1238877568
1321884324
1413a3d3a0
15baca085
hex7f58960

133532000 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 43200000.

The previous prime is 133531939. The next prime is 133532011. The reversal of 133532000 is 235331.

It is a self number, because there is not a number n which added to its sum of digits gives 133532000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531875 + ... + 532125.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2133532000 is an apocalyptic number.

133532000 is a gapful number since it is divisible by the number (10) 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 133532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

133532000 is an abundant number, since it is smaller than the sum of its proper divisors (262732960).

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

133532000 is a wasteful number, since it uses less digits than its factorization.

133532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 133532000 is about 11555.6047007502. The cubic root of 133532000 is about 511.1265625799.

Adding to 133532000 its reverse (235331), we get a palindrome (133767331).

The spelling of 133532000 in words is "one hundred thirty-three million, five hundred thirty-two thousand".