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135196992 = 2633711177
BaseRepresentation
bin10000000111011…
…11000101000000
3100102101201102000
420003233011000
5234102300432
621225424000
73231104220
oct1003570500
9312351360
10135196992
116a351557
123933b000
1322018128
1413d54080
15bd0857c
hex80ef140

135196992 has 112 divisors (see below), whose sum is σ = 454273920. Its totient is φ = 38624256.

The previous prime is 135196981. The next prime is 135197003. The reversal of 135196992 is 299691531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135196981) and next prime (135197003).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 6508 + ... + 17684.

Almost surely, 2135196992 is an apocalyptic number.

135196992 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 135196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227136960).

135196992 is an abundant number, since it is smaller than the sum of its proper divisors (319076928).

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

135196992 is a wasteful number, since it uses less digits than its factorization.

135196992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11205 (or 11189 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 135196992 is about 11627.4241343472. The cubic root of 135196992 is about 513.2421824251.

The spelling of 135196992 in words is "one hundred thirty-five million, one hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 11177 12096 22354 33531 44708 67062 78239 89416 100593 134124 156478 178832 201186 234717 268248 301779 312956 357664 402372 469434 536496 603558 625912 704151 715328 804744 938868 1072992 1207116 1251824 1408302 1609488 1877736 2112453 2145984 2414232 2503648 2816604 3218976 3755472 4224906 4828464 5007296 5633208 6437952 7510944 8449812 9656928 11266416 15021888 16899624 19313856 22532832 33799248 45065664 67598496 135196992