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135235152 = 24321325557
BaseRepresentation
bin10000000111110…
…00011001010000
3100102110122202100
420003320121100
5234110011102
621230320400
73231323403
oct1003703120
9312418670
10135235152
116a378198
1239359100
132202c600
1413d63d3a
15bd14a1c
hex80f8650

135235152 has 90 divisors (see below), whose sum is σ = 409896942. Its totient is φ = 41603328.

The previous prime is 135235151. The next prime is 135235157. The reversal of 135235152 is 251532531.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9884736 + 125350416 = 3144^2 + 11196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135235151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21558 + ... + 27114.

Almost surely, 2135235152 is an apocalyptic number.

135235152 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 135235152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204948471).

135235152 is an abundant number, since it is smaller than the sum of its proper divisors (274661790).

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

135235152 is a wasteful number, since it uses less digits than its factorization.

135235152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5575 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 135235152 is about 11629.0649667116. The cubic root of 135235152 is about 513.2904662392.

Adding to 135235152 its reverse (251532531), we get a palindrome (386767683).

The spelling of 135235152 in words is "one hundred thirty-five million, two hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 5557 6084 8112 11114 12168 16671 22228 24336 33342 44456 50013 66684 72241 88912 100026 133368 144482 200052 216723 266736 288964 400104 433446 577928 650169 800208 866892 939133 1155856 1300338 1733784 1878266 2600676 2817399 3467568 3756532 5201352 5634798 7513064 8452197 10402704 11269596 15026128 16904394 22539192 33808788 45078384 67617576 135235152