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136701864 = 23331389547
BaseRepresentation
bin10000010010111…
…10011110101000
3100112020011201000
420021132132220
5234443424424
621321555000
73246642465
oct1011363650
9315204630
10136701864
117018a152
1239945a60
13224240a0
141422666c
15c0043c9
hex825e7a8

136701864 has 128 divisors (see below), whose sum is σ = 414288000. Its totient is φ = 41513472.

The previous prime is 136701839. The next prime is 136701869. The reversal of 136701864 is 468107631.

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

It is not an unprimeable number, because it can be changed into a prime (136701869) 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 31 ways as a sum of consecutive naturals, for example, 249639 + ... + 250185.

It is an arithmetic number, because the mean of its divisors is an integer number (3236625).

Almost surely, 2136701864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136701864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207144000).

136701864 is an abundant number, since it is smaller than the sum of its proper divisors (277586136).

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

136701864 is a wasteful number, since it uses less digits than its factorization.

136701864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 136701864 is about 11691.9572356385. The cubic root of 136701864 is about 515.1394526052.

The spelling of 136701864 in words is "one hundred thirty-six million, seven hundred one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 89 104 108 117 156 178 216 234 267 312 351 356 468 534 547 702 712 801 936 1068 1094 1157 1404 1602 1641 2136 2188 2314 2403 2808 3204 3282 3471 4376 4628 4806 4923 6408 6564 6942 7111 9256 9612 9846 10413 13128 13884 14222 14769 19224 19692 20826 21333 27768 28444 29538 31239 39384 41652 42666 48683 56888 59076 62478 63999 83304 85332 97366 118152 124956 127998 146049 170664 191997 194732 249912 255996 292098 383994 389464 438147 511992 584196 632879 767988 876294 1168392 1265758 1314441 1535976 1752588 1898637 2531516 2628882 3505176 3797274 5063032 5257764 5695911 7594548 10515528 11391822 15189096 17087733 22783644 34175466 45567288 68350932 136701864