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136726272 = 2833131151
BaseRepresentation
bin10000010011001…
…00011100000000
3100112021102012000
420021210130000
5240000220042
621322304000
73250103604
oct1011443400
9315242160
10136726272
11701a6521
1239958000
1322432227
1414231504
15c00b74c
hex8264700

136726272 has 144 divisors (see below), whose sum is σ = 410108160. Its totient is φ = 44928000.

The previous prime is 136726259. The next prime is 136726277. The reversal of 136726272 is 272627631.

It is a happy number.

136726272 is a `hidden beast` number, since 1 + 367 + 26 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136726277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905397 + ... + 905547.

Almost surely, 2136726272 is an apocalyptic number.

136726272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205054080).

136726272 is an abundant number, since it is smaller than the sum of its proper divisors (273381888).

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

136726272 is a wasteful number, since it uses less digits than its factorization.

136726272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 136726272 is about 11693.0009834944. Note that the first 3 decimals coincide. The cubic root of 136726272 is about 515.1701100157.

The spelling of 136726272 in words is "one hundred thirty-six million, seven hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 151 192 216 256 262 288 302 384 393 432 453 524 576 604 768 786 864 906 1048 1152 1179 1208 1359 1572 1728 1812 2096 2304 2358 2416 2718 3144 3456 3537 3624 4077 4192 4716 4832 5436 6288 6912 7074 7248 8154 8384 9432 9664 10872 12576 14148 14496 16308 16768 18864 19328 19781 21744 25152 28296 28992 32616 33536 37728 38656 39562 43488 50304 56592 57984 59343 65232 75456 79124 86976 100608 113184 115968 118686 130464 150912 158248 173952 178029 226368 237372 260928 301824 316496 347904 356058 452736 474744 521856 534087 632992 712116 905472 949488 1043712 1068174 1265984 1424232 1898976 2136348 2531968 2848464 3797952 4272696 5063936 5696928 7595904 8545392 11393856 15191808 17090784 22787712 34181568 45575424 68363136 136726272