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136866132 = 223313711373
BaseRepresentation
bin10000010100001…
…10100101010100
3100112112112001000
420022012211110
5240014204012
621325303300
73251225424
oct1012064524
9315475030
10136866132
1170291607
1239a04b30
1322480aa0
141426a484
15c037ddc
hex8286954

136866132 has 96 divisors (see below), whose sum is σ = 387797760. Its totient is φ = 41489280.

The previous prime is 136866113. The next prime is 136866137. The reversal of 136866132 is 231668631.

136866132 is a `hidden beast` number, since 1 + 36 + 8 + 6 + 613 + 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 (136866137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98998 + ... + 100370.

It is an arithmetic number, because the mean of its divisors is an integer number (4039560).

Almost surely, 2136866132 is an apocalyptic number.

136866132 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 136866132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193898880).

136866132 is an abundant number, since it is smaller than the sum of its proper divisors (250931628).

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

136866132 is a wasteful number, since it uses less digits than its factorization.

136866132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1462 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 136866132 is about 11698.9799555346. The cubic root of 136866132 is about 515.3457093764.

The spelling of 136866132 in words is "one hundred thirty-six million, eight hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 71 78 108 117 142 156 213 234 284 351 426 468 639 702 852 923 1278 1373 1404 1846 1917 2556 2746 2769 3692 3834 4119 5492 5538 7668 8238 8307 11076 12357 16476 16614 17849 24714 24921 33228 35698 37071 49428 49842 53547 71396 74142 97483 99684 107094 148284 160641 194966 214188 292449 321282 389932 481923 584898 642564 877347 963846 1169796 1267279 1754694 1927692 2534558 2632041 3509388 3801837 5069116 5264082 7603674 10528164 11405511 15207348 22811022 34216533 45622044 68433066 136866132