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152737137 = 3374611753
BaseRepresentation
bin10010001101010…
…01010101110001
3101122101211222000
421012221111301
5303100042022
623053404213
73533146530
oct1106512561
9348354860
10152737137
1179241743
1243199669
1325849a07
14163dc317
15d6206ac
hex91a9571

152737137 has 32 divisors (see below), whose sum is σ = 259311360. Its totient is φ = 87039360.

The previous prime is 152737127. The next prime is 152737199. The reversal of 152737137 is 731737251.

It is not a de Polignac number, because 152737137 - 210 = 152736113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152737127) 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, 86253 + ... + 88005.

It is an arithmetic number, because the mean of its divisors is an integer number (8103480).

Almost surely, 2152737137 is an apocalyptic number.

It is an amenable number.

152737137 is a deficient number, since it is larger than the sum of its proper divisors (106574223).

152737137 is a wasteful number, since it uses less digits than its factorization.

152737137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2224 counting only the distinct ones).

The product of its digits is 30870, while the sum is 36.

The square root of 152737137 is about 12358.6867020732. The cubic root of 152737137 is about 534.5416483628.

The spelling of 152737137 in words is "one hundred fifty-two million, seven hundred thirty-seven thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 27 63 189 461 1383 1753 3227 4149 5259 9681 12271 12447 15777 29043 36813 47331 87129 110439 331317 808133 2424399 5656931 7273197 16970793 21819591 50912379 152737137