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135675228 = 223132149449
BaseRepresentation
bin10000001011000…
…11110101011100
3100110022000102110
420011203311130
5234213101403
621243554020
73235135413
oct1005436534
9313260373
10135675228
116a648897
123952b910
1322154a00
141403a47a
15bda0103
hex8163d5c

135675228 has 72 divisors (see below), whose sum is σ = 345870000. Its totient is φ = 41373696.

The previous prime is 135675223. The next prime is 135675271. The reversal of 135675228 is 822576531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135675223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301948 + ... + 302396.

It is an arithmetic number, because the mean of its divisors is an integer number (4803750).

Almost surely, 2135675228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135675228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172935000).

135675228 is an abundant number, since it is smaller than the sum of its proper divisors (210194772).

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

135675228 is a wasteful number, since it uses less digits than its factorization.

135675228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 135675228 is about 11647.9709821067. The cubic root of 135675228 is about 513.8466387786.

The spelling of 135675228 in words is "one hundred thirty-five million, six hundred seventy-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 169 298 338 447 449 507 596 676 894 898 1014 1347 1788 1796 1937 2028 2694 3874 5388 5811 5837 7748 11622 11674 17511 23244 23348 25181 35022 50362 66901 70044 75543 75881 100724 133802 151086 151762 200703 227643 267604 302172 303524 401406 455286 802812 869713 910572 1739426 2609139 3478852 5218278 10436556 11306269 22612538 33918807 45225076 67837614 135675228