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135381008 = 2471936263
BaseRepresentation
bin10000001000111…
…00000000010000
3100102202001211102
420010130000100
5234124143013
621233403532
73232501550
oct1004340020
9312661742
10135381008
116a467834
12394095a8
1322080b09
1413da1160
15bd42d58
hex811c010

135381008 has 40 divisors (see below), whose sum is σ = 301373568. Its totient is φ = 57710592.

The previous prime is 135380989. The next prime is 135381049. The reversal of 135381008 is 800183531.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18485 + ... + 24747.

Almost surely, 2135381008 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 135381008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150686784).

135381008 is an abundant number, since it is smaller than the sum of its proper divisors (165992560).

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

135381008 is a wasteful number, since it uses less digits than its factorization.

135381008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6471 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 135381008 is about 11635.3344601692. The cubic root of 135381008 is about 513.4749340442.

The spelling of 135381008 in words is "one hundred thirty-five million, three hundred eighty-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 193 386 772 1351 1544 2702 3088 5404 6263 10808 12526 21616 25052 43841 50104 87682 100208 175364 350728 701456 1208759 2417518 4835036 8461313 9670072 16922626 19340144 33845252 67690504 135381008