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135317214 = 232371991021
BaseRepresentation
bin10000001000011…
…00011011011110
3100102121211022200
420010030123132
5234120122324
621232152330
73232114554
oct1004143336
9312554280
10135317214
116a42390a
12393986a6
132205aa76
1413d85bd4
15bd2dec9
hex810c6de

135317214 has 48 divisors (see below), whose sum is σ = 302920800. Its totient is φ = 43623360.

The previous prime is 135317213. The next prime is 135317239. The reversal of 135317214 is 412713531.

135317214 is a `hidden beast` number, since 135 + 317 + 214 = 666.

135317214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135317213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132024 + ... + 133044.

It is an arithmetic number, because the mean of its divisors is an integer number (6310850).

Almost surely, 2135317214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135317214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151460400).

135317214 is an abundant number, since it is smaller than the sum of its proper divisors (167603586).

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

135317214 is a wasteful number, since it uses less digits than its factorization.

135317214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1262 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 135317214 is about 11632.5927462454. The cubic root of 135317214 is about 513.3942684547.

It can be divided in two parts, 135317 and 214, that added together give a palindrome (135531).

The spelling of 135317214 in words is "one hundred thirty-five million, three hundred seventeen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 199 222 333 398 597 666 1021 1194 1791 2042 3063 3582 6126 7363 9189 14726 18378 22089 37777 44178 66267 75554 113331 132534 203179 226662 339993 406358 609537 679986 1219074 1828611 3657222 7517623 15035246 22552869 45105738 67658607 135317214