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135234432 = 2732891319
BaseRepresentation
bin10000000111110…
…00001110000000
3100102110121202200
420003320032000
5234110000212
621230313200
73231321324
oct1003701600
9312417680
10135234432
116a3776a3
1239358800
132202c198
1413d63984
15bd146dc
hex80f8380

135234432 has 96 divisors (see below), whose sum is σ = 393822000. Its totient is φ = 44537856.

The previous prime is 135234427. The next prime is 135234479. The reversal of 135234432 is 234432531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 135234396 and 135234405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101869 + ... + 103187.

Almost surely, 2135234432 is an apocalyptic number.

135234432 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 135234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196911000).

135234432 is an abundant number, since it is smaller than the sum of its proper divisors (258587568).

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

135234432 is a wasteful number, since it uses less digits than its factorization.

135234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1413 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 135234432 is about 11629.0340097533. The cubic root of 135234432 is about 513.2895553079.

Adding to 135234432 its reverse (234432531), we get a palindrome (369666963).

It can be divided in two parts, 13523 and 4432, that added together give a triangular number (17955 = T189).

The spelling of 135234432 in words is "one hundred thirty-five million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 356 384 534 576 712 801 1068 1152 1319 1424 1602 2136 2638 2848 3204 3957 4272 5276 5696 6408 7914 8544 10552 11392 11871 12816 15828 17088 21104 23742 25632 31656 34176 42208 47484 51264 63312 84416 94968 102528 117391 126624 168832 189936 234782 253248 352173 379872 469564 506496 704346 759744 939128 1056519 1408692 1519488 1878256 2113038 2817384 3756512 4226076 5634768 7513024 8452152 11269536 15026048 16904304 22539072 33808608 45078144 67617216 135234432