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135816919 = 7431074217
BaseRepresentation
bin10000001100001…
…10011011010111
3100110120012210021
420012012123113
5234232120134
621251010011
73236265460
oct1006063327
9313505707
10135816919
116a735297
1239599907
13221a4354
1414075d67
15bdcc0b4
hex81866d7

135816919 has 16 divisors (see below), whose sum is σ = 160351488. Its totient is φ = 112617792.

The previous prime is 135816917. The next prime is 135816929. The reversal of 135816919 is 919618531.

It is not a de Polignac number, because 135816919 - 21 = 135816917 is a prime.

It is a super-2 number, since 2×1358169192 = 36892470973305122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135816917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30099 + ... + 34315.

It is an arithmetic number, because the mean of its divisors is an integer number (10021968).

Almost surely, 2135816919 is an apocalyptic number.

135816919 is a deficient number, since it is larger than the sum of its proper divisors (24534569).

135816919 is a wasteful number, since it uses less digits than its factorization.

135816919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374.

The product of its digits is 58320, while the sum is 43.

The square root of 135816919 is about 11654.0516130657. The cubic root of 135816919 is about 514.0254533263.

It can be divided in two parts, 13581 and 6919, that multiplied together give a palindrome (93966939).

The spelling of 135816919 in words is "one hundred thirty-five million, eight hundred sixteen thousand, nine hundred nineteen".

Divisors: 1 7 43 107 301 749 4217 4601 29519 32207 181331 451219 1269317 3158533 19402417 135816919