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136824138 = 2321135711
BaseRepresentation
bin10000010011111…
…00010101001010
3100112110101102200
420021330111022
5240011333023
621324341030
73250662123
oct1011742512
9315411380
10136824138
1170263000
12399a4776
1322467939
141425904a
15c02a743
hex827c54a

136824138 has 48 divisors (see below), whose sum is σ = 326132352. Its totient is φ = 41454600.

The previous prime is 136824133. The next prime is 136824161. The reversal of 136824138 is 831428631.

It is not an unprimeable number, because it can be changed into a prime (136824131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21103 + ... + 26813.

It is an arithmetic number, because the mean of its divisors is an integer number (6794424).

Almost surely, 2136824138 is an apocalyptic number.

136824138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136824138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163066176).

136824138 is an abundant number, since it is smaller than the sum of its proper divisors (189308214).

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

136824138 is a wasteful number, since it uses less digits than its factorization.

136824138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5727 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 136824138 is about 11697.1850459844. The cubic root of 136824138 is about 515.2929969409.

The spelling of 136824138 in words is "one hundred thirty-six million, eight hundred twenty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 5711 7986 11422 11979 17133 23958 34266 51399 62821 102798 125642 188463 376926 565389 691031 1130778 1382062 2073093 4146186 6219279 7601341 12438558 15202682 22804023 45608046 68412069 136824138