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136771008 = 26311312089
BaseRepresentation
bin10000010011011…
…11010111000000
3100112100200112220
420021233113000
5240003133013
621323251040
73250351203
oct1011572700
9315320486
10136771008
11702270a0
1239979a80
13224496ba
141424393a
15c019b23
hex826f5c0

136771008 has 112 divisors (see below), whose sum is σ = 407700480. Its totient is φ = 40089600.

The previous prime is 136770979. The next prime is 136771009. The reversal of 136771008 is 800177631.

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

It is a self number, because there is not a number n which added to its sum of digits gives 136771008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136771009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64428 + ... + 66516.

Almost surely, 2136771008 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 136771008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203850240).

136771008 is an abundant number, since it is smaller than the sum of its proper divisors (270929472).

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

136771008 is a wasteful number, since it uses less digits than its factorization.

136771008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 136771008 is about 11694.9137662490. The cubic root of 136771008 is about 515.2262907253.

The spelling of 136771008 in words is "one hundred thirty-six million, seven hundred seventy-one thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1984 2046 2089 2112 2728 2976 4092 4178 5456 5952 6267 8184 8356 10912 12534 16368 16712 21824 22979 25068 32736 33424 45958 50136 64759 65472 66848 68937 91916 100272 129518 133696 137874 183832 194277 200544 259036 275748 367664 388554 401088 518072 551496 712349 735328 777108 1036144 1102992 1424698 1470656 1554216 2072288 2137047 2205984 2849396 3108432 4144576 4274094 4411968 5698792 6216864 8548188 11397584 12433728 17096376 22795168 34192752 45590336 68385504 136771008