Search a number
-
+
135665136 = 24325031873
BaseRepresentation
bin10000001011000…
…01010111110000
3100110021111120200
420011201113300
5234212241021
621243435200
73235064115
oct1005412760
9313244520
10135665136
116a641252
1239525b00
1322150239
141403690c
15bd9c126
hex81615f0

135665136 has 60 divisors (see below), whose sum is σ = 380631888. Its totient is φ = 45107712.

The previous prime is 135665099. The next prime is 135665137. The reversal of 135665136 is 631566531.

135665136 is a `hidden beast` number, since 13 + 566 + 51 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135665136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135665137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71496 + ... + 73368.

Almost surely, 2135665136 is an apocalyptic number.

135665136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135665136 is an abundant number, since it is smaller than the sum of its proper divisors (244966752).

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

135665136 is a wasteful number, since it uses less digits than its factorization.

135665136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2381 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 135665136 is about 11647.5377655537. The cubic root of 135665136 is about 513.8338978901.

The spelling of 135665136 in words is "one hundred thirty-five million, six hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 503 1006 1509 1873 2012 3018 3746 4024 4527 5619 6036 7492 8048 9054 11238 12072 14984 16857 18108 22476 24144 29968 33714 36216 44952 67428 72432 89904 134856 269712 942119 1884238 2826357 3768476 5652714 7536952 8479071 11305428 15073904 16958142 22610856 33916284 45221712 67832568 135665136