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135106320 = 2435562943
BaseRepresentation
bin10000000110110…
…00111100010000
3100102020010000210
420003120330100
5234041400240
621223444120
73230245656
oct1003307420
9312203023
10135106320
116a29a418
12392b6640
1321cb5a8b
1413d2cdd6
15bcdb780
hex80d8f10

135106320 has 40 divisors (see below), whose sum is σ = 418830336. Its totient is φ = 36028288.

The previous prime is 135106319. The next prime is 135106337. The reversal of 135106320 is 23601531.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281232 + ... + 281711.

Almost surely, 2135106320 is an apocalyptic number.

135106320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135106320 is an abundant number, since it is smaller than the sum of its proper divisors (283724016).

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

135106320 is a wasteful number, since it uses less digits than its factorization.

135106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562959 (or 562953 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 135106320 is about 11623.5244224805. The cubic root of 135106320 is about 513.1274187707.

Adding to 135106320 its reverse (23601531), we get a palindrome (158707851).

The spelling of 135106320 in words is "one hundred thirty-five million, one hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 562943 1125886 1688829 2251772 2814715 3377658 4503544 5629430 6755316 8444145 9007088 11258860 13510632 16888290 22517720 27021264 33776580 45035440 67553160 135106320