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135664332 = 223191933083
BaseRepresentation
bin10000001011000…
…01001011001100
3100110021110110220
420011201023030
5234212224312
621243431340
73235061556
oct1005411314
9313243426
10135664332
116a640691
1239525550
132214ca6b
14140364d6
15bd9bc8c
hex81612cc

135664332 has 48 divisors (see below), whose sum is σ = 335045760. Its totient is φ = 42605568.

The previous prime is 135664307. The next prime is 135664357. The reversal of 135664332 is 233466531.

It is an interprime number because it is at equal distance from previous prime (135664307) and next prime (135664357).

It is a junction number, because it is equal to n+sod(n) for n = 135664293 and 135664302.

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, 42463 + ... + 45545.

It is an arithmetic number, because the mean of its divisors is an integer number (6980120).

Almost surely, 2135664332 is an apocalyptic number.

135664332 is a gapful number since it is divisible by the number (12) 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 135664332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167522880).

135664332 is an abundant number, since it is smaller than the sum of its proper divisors (199381428).

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

135664332 is a wasteful number, since it uses less digits than its factorization.

135664332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3300 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 135664332 is about 11647.5032517703. The cubic root of 135664332 is about 513.8328828338.

The spelling of 135664332 in words is "one hundred thirty-five million, six hundred sixty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 386 579 772 1158 2316 3083 3667 6166 7334 9249 11001 12332 14668 18498 22002 36996 44004 58577 117154 175731 234308 351462 595019 702924 1190038 1785057 2380076 3570114 7140228 11305361 22610722 33916083 45221444 67832166 135664332