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136106916 = 2231123127353
BaseRepresentation
bin10000001110011…
…01001110100100
3100111002221120220
420013031032210
5234320410131
621301124340
73241614111
oct1007151644
9314087526
10136106916
116a913160
12396b96b0
132227634a
141410d908
15be37e96
hex81cd3a4

136106916 has 96 divisors (see below), whose sum is σ = 365395968. Its totient is φ = 39029760.

The previous prime is 136106909. The next prime is 136106941. The reversal of 136106916 is 619601631.

136106916 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

136106916 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385396 + ... + 385748.

It is an arithmetic number, because the mean of its divisors is an integer number (3806208).

Almost surely, 2136106916 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 136106916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182697984).

136106916 is an abundant number, since it is smaller than the sum of its proper divisors (229289052).

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

136106916 is a wasteful number, since it uses less digits than its factorization.

136106916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 136106916 is about 11666.4868748051. The cubic root of 136106916 is about 514.3910431972.

The spelling of 136106916 in words is "one hundred thirty-six million, one hundred six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 127 132 138 253 254 276 353 381 506 508 706 759 762 1012 1059 1397 1412 1518 1524 2118 2794 2921 3036 3883 4191 4236 5588 5842 7766 8119 8382 8763 11649 11684 15532 16238 16764 17526 23298 24357 32131 32476 35052 44831 46596 48714 64262 89309 89662 96393 97428 128524 134493 178618 179324 192786 267927 268986 357236 385572 493141 535854 537972 986282 1031113 1071708 1479423 1972564 2062226 2958846 3093339 4124452 5917692 6186678 11342243 12373356 22684486 34026729 45368972 68053458 136106916