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151352136 = 2332131011601
BaseRepresentation
bin10010000010101…
…11001101001000
3101112210111002200
421001113031020
5302221232021
623004000200
73515320605
oct1101271510
9345714080
10151352136
1178486111
1242830060
13254834a0
141615b6ac
15d44a126
hex9057348

151352136 has 96 divisors (see below), whose sum is σ = 446092920. Its totient is φ = 46080000.

The previous prime is 151352111. The next prime is 151352147. The reversal of 151352136 is 631253151.

It can be written as a sum of positive squares in 4 ways, for example, as 150552900 + 799236 = 12270^2 + 894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93736 + ... + 95336.

Almost surely, 2151352136 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 151352136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223046460).

151352136 is an abundant number, since it is smaller than the sum of its proper divisors (294740784).

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

151352136 is a wasteful number, since it uses less digits than its factorization.

151352136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1720 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 151352136 is about 12302.5255943648. The cubic root of 151352136 is about 532.9210212604.

It can be divided in two parts, 15135 and 2136, that added together give a palindrome (17271).

The spelling of 151352136 in words is "one hundred fifty-one million, three hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 202 234 303 312 404 468 606 808 909 936 1212 1313 1601 1818 2424 2626 3202 3636 3939 4803 5252 6404 7272 7878 9606 10504 11817 12808 14409 15756 19212 20813 23634 28818 31512 38424 41626 47268 57636 62439 83252 94536 115272 124878 161701 166504 187317 249756 323402 374634 485103 499512 646804 749268 970206 1293608 1455309 1498536 1940412 2102113 2910618 3880824 4204226 5821236 6306339 8408452 11642472 12612678 16816904 18919017 25225356 37838034 50450712 75676068 151352136