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136286172 = 223311210429
BaseRepresentation
bin10000001111110…
…00111111011100
3100111110001111000
420013320333130
5234342124142
621305030300
73243261531
oct1007707734
9314401430
10136286172
116aa25900
1239785390
1322309b09
1414158d88
15be7114c
hex81f8fdc

136286172 has 72 divisors (see below), whose sum is σ = 388413200. Its totient is φ = 41294880.

The previous prime is 136286149. The next prime is 136286179. The reversal of 136286172 is 271682631.

136286172 is a `hidden beast` number, since 1 + 36 + 2 + 8 + 617 + 2 = 666.

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 (136286179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7854 + ... + 18282.

Almost surely, 2136286172 is an apocalyptic number.

136286172 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 136286172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194206600).

136286172 is an abundant number, since it is smaller than the sum of its proper divisors (252127028).

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

136286172 is a wasteful number, since it uses less digits than its factorization.

136286172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10445 counting only the distinct ones).

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

The square root of 136286172 is about 11674.1668653485. The cubic root of 136286172 is about 514.6167658209.

The spelling of 136286172 in words is "one hundred thirty-six million, two hundred eighty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 10429 13068 20858 31287 41716 62574 93861 114719 125148 187722 229438 281583 344157 375444 458876 563166 688314 1032471 1126332 1261909 1376628 2064942 2523818 3097413 3785727 4129884 5047636 6194826 7571454 11357181 12389652 15142908 22714362 34071543 45428724 68143086 136286172