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136832148 = 223219251797
BaseRepresentation
bin10000010011111…
…10010010010100
3100112110210102100
420021332102110
5240012112043
621324442100
73251024355
oct1011762224
9315423370
10136832148
1170269022
12399a9330
132246b48b
141425bd2c
15c02ccd3
hex827e494

136832148 has 72 divisors (see below), whose sum is σ = 365994720. Its totient is φ = 42984000.

The previous prime is 136832147. The next prime is 136832153. The reversal of 136832148 is 841238631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136832141) 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, 171286 + ... + 172082.

It is an arithmetic number, because the mean of its divisors is an integer number (5083260).

Almost surely, 2136832148 is an apocalyptic number.

136832148 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 136832148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

136832148 is an abundant number, since it is smaller than the sum of its proper divisors (229162572).

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

136832148 is a wasteful number, since it uses less digits than its factorization.

136832148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1072 counting only the distinct ones).

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

The square root of 136832148 is about 11697.5274310429. The cubic root of 136832148 is about 515.3030522240.

The spelling of 136832148 in words is "one hundred thirty-six million, eight hundred thirty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 251 342 502 684 753 797 1004 1506 1594 2259 2391 3012 3188 4518 4769 4782 7173 9036 9538 9564 14307 14346 15143 19076 28614 28692 30286 42921 45429 57228 60572 85842 90858 136287 171684 181716 200047 272574 400094 545148 600141 800188 1200282 1800423 2400564 3600846 3800893 7201692 7601786 11402679 15203572 22805358 34208037 45610716 68416074 136832148