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137536288230 = 235111313181501
BaseRepresentation
bin1000000000010111001…
…1010011010111100110
3111011000010210100120010
42000011303103113212
54223133242210410
6143103331551050
712636164106105
oct2000563232746
9434003710503
10137536288230
1153368716010
12227a475b486
13cc7b329a93
14692a34603c
15389e7b2c20
hex2005cd35e6

137536288230 has 64 divisors (see below), whose sum is σ = 362843940096. Its totient is φ = 33087600000.

The previous prime is 137536288177. The next prime is 137536288243. The reversal of 137536288230 is 32882635731.

It is a super-3 number, since 3×1375362882303 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137536288230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547521 + ... + 1633980.

It is an arithmetic number, because the mean of its divisors is an integer number (5669436564).

Almost surely, 2137536288230 is an apocalyptic number.

137536288230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137536288230 is an abundant number, since it is smaller than the sum of its proper divisors (225307651866).

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

137536288230 is a wasteful number, since it uses less digits than its factorization.

137536288230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181653.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 137536288230 in words is "one hundred thirty-seven billion, five hundred thirty-six million, two hundred eighty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 131 165 262 330 393 655 786 1310 1441 1965 2882 3930 4323 7205 8646 14410 21615 43230 3181501 6363002 9544503 15907505 19089006 31815010 34996511 47722515 69993022 95445030 104989533 174982555 209979066 349965110 416776631 524947665 833553262 1049895330 1250329893 2083883155 2500659786 4167766310 4584542941 6251649465 9169085882 12503298930 13753628823 22922714705 27507257646 45845429410 68768144115 137536288230