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135321690 = 23571314919
BaseRepresentation
bin10000001000011…
…01100001011010
3100102122001110110
420010031201122
5234120243230
621232225150
73232133610
oct1004154132
9312561413
10135321690
116a427209
123939b1b6
132205cb0a
1413d876b0
15bd304b0
hex810d85a

135321690 has 64 divisors (see below), whose sum is σ = 374077440. Its totient is φ = 30688320.

The previous prime is 135321677. The next prime is 135321701. The reversal of 135321690 is 96123531.

It is a super-2 number, since 2×1353216902 = 36623919568912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25051 + ... + 29969.

It is an arithmetic number, because the mean of its divisors is an integer number (5844960).

Almost surely, 2135321690 is an apocalyptic number.

135321690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135321690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187038720).

135321690 is an abundant number, since it is smaller than the sum of its proper divisors (238755750).

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

135321690 is a wasteful number, since it uses less digits than its factorization.

135321690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 135321690 is about 11632.7851351256. The cubic root of 135321690 is about 513.3999290486.

The spelling of 135321690 in words is "one hundred thirty-five million, three hundred twenty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 210 262 393 655 786 917 1310 1834 1965 2751 3930 4585 4919 5502 9170 9838 13755 14757 24595 27510 29514 34433 49190 68866 73785 103299 147570 172165 206598 344330 516495 644389 1032990 1288778 1933167 3221945 3866334 4510723 6443890 9021446 9665835 13532169 19331670 22553615 27064338 45107230 67660845 135321690