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135755802 = 232713671237
BaseRepresentation
bin10000001011101…
…11100000011010
3100110110002221200
420011313200122
5234223141202
621245415030
73235622340
oct1005674032
9313402850
10135755802
116a6a3386
123956a476
13221825a0
141405b990
15bdb8e1c
hex817781a

135755802 has 96 divisors (see below), whose sum is σ = 367715712. Its totient is φ = 35240832.

The previous prime is 135755801. The next prime is 135755813. The reversal of 135755802 is 208557531.

135755802 is a `hidden beast` number, since 1 + 3 + 5 + 75 + 580 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (135755801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109128 + ... + 110364.

It is an arithmetic number, because the mean of its divisors is an integer number (3830372).

Almost surely, 2135755802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135755802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183857856).

135755802 is an abundant number, since it is smaller than the sum of its proper divisors (231959910).

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

135755802 is a wasteful number, since it uses less digits than its factorization.

135755802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 135755802 is about 11651.4291827226. The cubic root of 135755802 is about 513.9483387141.

The spelling of 135755802 in words is "one hundred thirty-five million, seven hundred fifty-five thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 67 78 91 117 126 134 182 201 234 273 402 469 546 603 819 871 938 1206 1237 1407 1638 1742 2474 2613 2814 3711 4221 5226 6097 7422 7839 8442 8659 11133 12194 15678 16081 17318 18291 22266 25977 32162 36582 48243 51954 54873 77931 82879 96486 109746 112567 144729 155862 165758 225134 248637 289458 337701 497274 580153 675402 745911 1013103 1077427 1160306 1491822 1740459 2026206 2154854 3232281 3480918 5221377 6464562 7541989 9696843 10442754 15083978 19393686 22625967 45251934 67877901 135755802