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136268664 = 2337811123
BaseRepresentation
bin10000001111101…
…00101101111000
3100111102011110120
420013310231320
5234341044124
621304413240
73243156510
oct1007645570
9314364416
10136268664
116aa13734
1239777220
1322301b5c
1414152840
15be6ad79
hex81f4b78

136268664 has 32 divisors (see below), whose sum is σ = 389339520. Its totient is φ = 38933856.

The previous prime is 136268663. The next prime is 136268681. The reversal of 136268664 is 466862631.

136268664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136268663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405394 + ... + 405729.

It is an arithmetic number, because the mean of its divisors is an integer number (12166860).

Almost surely, 2136268664 is an apocalyptic number.

136268664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136268664 is an abundant number, since it is smaller than the sum of its proper divisors (253070856).

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

136268664 is a wasteful number, since it uses less digits than its factorization.

136268664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811139 (or 811135 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 136268664 is about 11673.4169804732. The cubic root of 136268664 is about 514.5947281335.

The spelling of 136268664 in words is "one hundred thirty-six million, two hundred sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 811123 1622246 2433369 3244492 4866738 5677861 6488984 9733476 11355722 17033583 19466952 22711444 34067166 45422888 68134332 136268664