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135495144 = 23328392243
BaseRepresentation
bin10000001001101…
…11110111101000
3100102221212101200
420010313313220
5234141321034
621240044200
73233455401
oct1004676750
9312855350
10135495144
116a535564
1239463660
13220c0a55
1413dd09a8
15bd66a99
hex8137de8

135495144 has 48 divisors (see below), whose sum is σ = 367567200. Its totient is φ = 45091104.

The previous prime is 135495121. The next prime is 135495149. The reversal of 135495144 is 441594531.

It is a happy number.

135495144 is a `hidden beast` number, since 135 + 4 + 9 + 514 + 4 = 666.

135495144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 135495099 and 135495108.

It is not an unprimeable number, because it can be changed into a prime (135495149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59287 + ... + 61529.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2135495144 is an apocalyptic number.

It is an amenable number.

135495144 is an abundant number, since it is smaller than the sum of its proper divisors (232072056).

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

135495144 is a wasteful number, since it uses less digits than its factorization.

135495144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3087 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 135495144 is about 11640.2381418938. The cubic root of 135495144 is about 513.6191923710.

The spelling of 135495144 in words is "one hundred thirty-five million, four hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 839 1678 2243 2517 3356 4486 5034 6712 6729 7551 8972 10068 13458 15102 17944 20136 20187 26916 30204 40374 53832 60408 80748 161496 1881877 3763754 5645631 7527508 11291262 15055016 16936893 22582524 33873786 45165048 67747572 135495144