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135351342 = 23271377841
BaseRepresentation
bin10000001000101…
…00110000101110
3100102200120010200
420010110300232
5234122220332
621233014330
73232316220
oct1004246056
9312616120
10135351342
116a447515
12393b43a6
1322070469
1413d94410
15bd3917c
hex8114c2e

135351342 has 48 divisors (see below), whose sum is σ = 337645152. Its totient is φ = 38384640.

The previous prime is 135351319. The next prime is 135351353. The reversal of 135351342 is 243153531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13342 + ... + 21182.

It is an arithmetic number, because the mean of its divisors is an integer number (7034274).

Almost surely, 2135351342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135351342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168822576).

135351342 is an abundant number, since it is smaller than the sum of its proper divisors (202293810).

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

135351342 is a wasteful number, since it uses less digits than its factorization.

135351342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7993 (or 7990 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 135351342 is about 11634.0595666345. The cubic root of 135351342 is about 513.4374254345.

The spelling of 135351342 in words is "one hundred thirty-five million, three hundred fifty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 959 1233 1918 2466 2877 5754 7841 8631 15682 17262 23523 47046 54887 70569 109774 141138 164661 329322 493983 987966 1074217 2148434 3222651 6445302 7519519 9667953 15039038 19335906 22558557 45117114 67675671 135351342