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135774324 = 223271094943
BaseRepresentation
bin10000001011111…
…00000001110100
3100110111001100200
420011330001310
5234224234244
621250040500
73236030340
oct1005740164
9313431320
10135774324
116a706294
1239579130
132218ab4a
1414064620
15bdbe669
hex817c074

135774324 has 72 divisors (see below), whose sum is σ = 395915520. Its totient is φ = 38428992.

The previous prime is 135774311. The next prime is 135774341. The reversal of 135774324 is 423477531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24997 + ... + 29939.

Almost surely, 2135774324 is an apocalyptic number.

135774324 is a gapful number since it is divisible by the number (14) 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 135774324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197957760).

135774324 is an abundant number, since it is smaller than the sum of its proper divisors (260141196).

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

135774324 is a wasteful number, since it uses less digits than its factorization.

135774324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5064 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 135774324 is about 11652.2239937275. The cubic root of 135774324 is about 513.9717113633.

The spelling of 135774324 in words is "one hundred thirty-five million, seven hundred seventy-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 252 327 436 654 763 981 1308 1526 1962 2289 3052 3924 4578 4943 6867 9156 9886 13734 14829 19772 27468 29658 34601 44487 59316 69202 88974 103803 138404 177948 207606 311409 415212 538787 622818 1077574 1245636 1616361 2155148 3232722 3771509 4849083 6465444 7543018 9698166 11314527 15086036 19396332 22629054 33943581 45258108 67887162 135774324