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135442216 = 23713238089
BaseRepresentation
bin10000001001010…
…10111100101000
3100102212011210101
420010222330220
5234133122331
621234555144
73233145160
oct1004527450
9312764711
10135442216
116a4a9818
1239438ab4
13220a2930
1413db95a0
15bd56061
hex812af28

135442216 has 64 divisors (see below), whose sum is σ = 326188800. Its totient is φ = 51245568.

The previous prime is 135442211. The next prime is 135442231. The reversal of 135442216 is 612244531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (135442211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12700 + ... + 20788.

It is an arithmetic number, because the mean of its divisors is an integer number (5096700).

Almost surely, 2135442216 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 135442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163094400).

135442216 is an abundant number, since it is smaller than the sum of its proper divisors (190746584).

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

135442216 is a wasteful number, since it uses less digits than its factorization.

135442216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8134 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 135442216 is about 11637.9644268231. The cubic root of 135442216 is about 513.5523058975.

Adding to 135442216 its reverse (612244531), we get a palindrome (747686747).

The spelling of 135442216 in words is "one hundred thirty-five million, four hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 598 644 728 1196 1288 2093 2392 4186 8089 8372 16178 16744 32356 56623 64712 105157 113246 186047 210314 226492 372094 420628 452984 736099 744188 841256 1302329 1472198 1488376 2418611 2604658 2944396 4837222 5209316 5888792 9674444 10418632 16930277 19348888 33860554 67721108 135442216