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136078965 = 3251117103157
BaseRepresentation
bin10000001110001…
…10011001110101
3100111001112020200
420013012121311
5234314011330
621300351113
73241436451
oct1007063165
9314045220
10136078965
116a8a4160
12396a5499
13222666c9
1414103661
15be2ea60
hex81c6675

136078965 has 96 divisors (see below), whose sum is σ = 276846336. Its totient is φ = 61102080.

The previous prime is 136078937. The next prime is 136078967. The reversal of 136078965 is 569870631.

It is a happy number.

It is not a de Polignac number, because 136078965 - 219 = 135554677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 136078965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136078967) 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 95 ways as a sum of consecutive naturals, for example, 866667 + ... + 866823.

It is an arithmetic number, because the mean of its divisors is an integer number (2883816).

Almost surely, 2136078965 is an apocalyptic number.

136078965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136078965 is an abundant number, since it is smaller than the sum of its proper divisors (140767371).

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

136078965 is a wasteful number, since it uses less digits than its factorization.

136078965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 136078965 is about 11665.2888948367. The cubic root of 136078965 is about 514.3558288996.

The spelling of 136078965 in words is "one hundred thirty-six million, seventy-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 103 153 157 165 187 255 309 471 495 515 561 765 785 927 935 1133 1413 1545 1683 1727 1751 2355 2669 2805 3399 4635 5181 5253 5665 7065 8007 8415 8635 8755 10197 13345 15543 15759 16171 16995 19261 24021 25905 26265 29359 40035 48513 50985 57783 77715 78795 80855 88077 96305 120105 145539 146795 173349 177881 242565 264231 274907 288915 440385 533643 727695 824721 866745 889405 1321155 1374535 1600929 2474163 2668215 3023977 4123605 8004645 9071931 12370815 15119885 27215793 45359655 136078965