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135199368 = 2335174091
BaseRepresentation
bin10000000111011…
…11101010001000
3100102101211200000
420003233222020
5234102334433
621225443000
73231114153
oct1003575210
9312354600
10135199368
116a353317
1239340460
1322019235
1413d54c9a
15bd09113
hex80efa88

135199368 has 96 divisors (see below), whose sum is σ = 402161760. Its totient is φ = 42405120.

The previous prime is 135199357. The next prime is 135199373. The reversal of 135199368 is 863991531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31003 + ... + 35093.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2135199368 is an apocalyptic number.

135199368 is a gapful number since it is divisible by the number (18) 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 135199368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).

135199368 is an abundant number, since it is smaller than the sum of its proper divisors (266962392).

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

135199368 is a wasteful number, since it uses less digits than its factorization.

135199368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4113 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 135199368 is about 11627.5263061410. The cubic root of 135199368 is about 513.2451890410.

The spelling of 135199368 in words is "one hundred thirty-five million, one hundred ninety-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 4091 4131 5508 8182 8262 11016 12273 16364 16524 24546 32728 33048 36819 49092 69547 73638 98184 110457 139094 147276 208641 220914 278188 294552 331371 417282 441828 556376 625923 662742 834564 883656 994113 1251846 1325484 1669128 1877769 1988226 2503692 2650968 3755538 3976452 5007384 5633307 7511076 7952904 11266614 15022152 16899921 22533228 33799842 45066456 67599684 135199368