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135581696 = 21279419
BaseRepresentation
bin10000001010011…
…01000000000000
3100110010021010022
420011031000000
5234202103241
621241553012
73234265625
oct1005150000
9313107108
10135581696
116a594598
12394a5768
1322121273
141401434c
15bd8254b
hex814d000

135581696 has 52 divisors (see below), whose sum is σ = 275217600. Its totient is φ = 66772992.

The previous prime is 135581687. The next prime is 135581713. The reversal of 135581696 is 696185531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323375 + ... + 323793.

Almost surely, 2135581696 is an apocalyptic number.

135581696 is a gapful number since it is divisible by the number (16) 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 135581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137608800).

135581696 is an abundant number, since it is smaller than the sum of its proper divisors (139635904).

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

135581696 is an frugal number, since it uses more digits than its factorization.

135581696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 500 counting only the distinct ones).

The product of its digits is 194400, while the sum is 44.

The square root of 135581696 is about 11643.9553417213. The cubic root of 135581696 is about 513.7285328357.

The spelling of 135581696 in words is "one hundred thirty-five million, five hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 419 512 632 838 1024 1264 1676 2048 2528 3352 4096 5056 6704 10112 13408 20224 26816 33101 40448 53632 66202 80896 107264 132404 161792 214528 264808 323584 429056 529616 858112 1059232 1716224 2118464 4236928 8473856 16947712 33895424 67790848 135581696