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135323376 = 24361113409
BaseRepresentation
bin10000001000011…
…01111011110000
3100102122010202220
420010031323300
5234120322001
621232241040
73232141536
oct1004157360
9312563686
10135323376
116a428501
12393a0180
1322060806
1413d88156
15bd30c36
hex810def0

135323376 has 80 divisors (see below), whose sum is σ = 359337120. Its totient is φ = 43868160.

The previous prime is 135323351. The next prime is 135323389. The reversal of 135323376 is 673323531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330660 + ... + 331068.

It is an arithmetic number, because the mean of its divisors is an integer number (4491714).

Almost surely, 2135323376 is an apocalyptic number.

135323376 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 135323376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179668560).

135323376 is an abundant number, since it is smaller than the sum of its proper divisors (224013744).

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

135323376 is a wasteful number, since it uses less digits than its factorization.

135323376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its digits is 34020, while the sum is 33.

The square root of 135323376 is about 11632.8576024982. The cubic root of 135323376 is about 513.4020612239.

The spelling of 135323376 in words is "one hundred thirty-five million, three hundred twenty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 113 122 183 226 244 339 366 409 452 488 678 732 818 904 976 1227 1356 1464 1636 1808 2454 2712 2928 3272 4908 5424 6544 6893 9816 13786 19632 20679 24949 27572 41358 46217 49898 55144 74847 82716 92434 99796 110288 138651 149694 165432 184868 199592 277302 299388 330864 369736 399184 554604 598776 739472 1109208 1197552 2218416 2819237 5638474 8457711 11276948 16915422 22553896 33830844 45107792 67661688 135323376