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135134430 = 235231511297
BaseRepresentation
bin10000000110111…
…11110011011110
3100102021112120220
420003133303132
5234043300210
621224222210
73230423634
oct1003376336
9312245526
10135134430
116a309552
123930a966
1321cc5802
1413d39354
15bce4c70
hex80dfcde

135134430 has 64 divisors (see below), whose sum is σ = 340927488. Its totient is φ = 34214400.

The previous prime is 135134429. The next prime is 135134431. The reversal of 135134430 is 34431531.

It is a happy number.

135134430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135134429) and next prime (135134431).

It is a super-2 number, since 2×1351344302 = 36522628342849800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135134430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135134431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103542 + ... + 104838.

It is an arithmetic number, because the mean of its divisors is an integer number (5326992).

Almost surely, 2135134430 is an apocalyptic number.

135134430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135134430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170463744).

135134430 is an abundant number, since it is smaller than the sum of its proper divisors (205793058).

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

135134430 is a wasteful number, since it uses less digits than its factorization.

135134430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135134430 is about 11624.7335453334. The cubic root of 135134430 is about 513.1630031202.

Adding to 135134430 its reverse (34431531), we get a palindrome (169565961).

The spelling of 135134430 in words is "one hundred thirty-five million, one hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 151 230 302 345 453 690 755 906 1297 1510 2265 2594 3473 3891 4530 6485 6946 7782 10419 12970 17365 19455 20838 29831 34730 38910 52095 59662 89493 104190 149155 178986 195847 298310 391694 447465 587541 894930 979235 1175082 1958470 2937705 4504481 5875410 9008962 13513443 22522405 27026886 45044810 67567215 135134430