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135134352 = 24331033037
BaseRepresentation
bin10000000110111…
…11110010010000
3100102021112111000
420003133302100
5234043244402
621224222000
73230423463
oct1003376220
9312245430
10135134352
116a309491
123930a900
1321cc5772
1413d392da
15bce4c1c
hex80dfc90

135134352 has 80 divisors (see below), whose sum is σ = 391780480. Its totient is φ = 44592768.

The previous prime is 135134347. The next prime is 135134357. The reversal of 135134352 is 253431531.

It is an interprime number because it is at equal distance from previous prime (135134347) and next prime (135134357).

It is a super-2 number, since 2×1351343522 = 36522586180919808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135134357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42978 + ... + 46014.

It is an arithmetic number, because the mean of its divisors is an integer number (4897256).

Almost surely, 2135134352 is an apocalyptic number.

135134352 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 135134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195890240).

135134352 is an abundant number, since it is smaller than the sum of its proper divisors (256646128).

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

135134352 is a wasteful number, since it uses less digits than its factorization.

135134352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3145 counting only the distinct ones).

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

The square root of 135134352 is about 11624.7301904173. The cubic root of 135134352 is about 513.1629043871.

Adding to 135134352 its reverse (253431531), we get a palindrome (388565883).

The spelling of 135134352 in words is "one hundred thirty-five million, one hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3037 3708 4944 5562 6074 7416 9111 11124 12148 14832 18222 22248 24296 27333 36444 44496 48592 54666 72888 81999 109332 145776 163998 218664 312811 327996 437328 625622 655992 938433 1251244 1311984 1876866 2502488 2815299 3753732 5004976 5630598 7507464 8445897 11261196 15014928 16891794 22522392 33783588 45044784 67567176 135134352