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135636255150 = 235211237734583
BaseRepresentation
bin111111001010010001…
…1010000000110101110
3110222002201112200011120
41332110203100012232
54210240340131100
6142151015401410
712541123101054
oct1762443200656
9428081480146
10135636255150
1152583148040
1222354383266
13ca377b4156
1467c9c701d4
1537dca9a0a0
hex1f948d01ae

135636255150 has 96 divisors (see below), whose sum is σ = 367122716928. Its totient is φ = 32866732800.

The previous prime is 135636255137. The next prime is 135636255151. The reversal of 135636255150 is 51552636531.

135636255150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1356362551502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135636255151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3904759 + ... + 3939341.

It is an arithmetic number, because the mean of its divisors is an integer number (3824194968).

Almost surely, 2135636255150 is an apocalyptic number.

135636255150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135636255150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183561358464).

135636255150 is an abundant number, since it is smaller than the sum of its proper divisors (231486461778).

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

135636255150 is a wasteful number, since it uses less digits than its factorization.

135636255150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36986 (or 36981 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 135636255150 in words is "one hundred thirty-five billion, six hundred thirty-six million, two hundred fifty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 2377 4754 7131 11885 14262 23770 26147 34583 35655 52294 59425 69166 71310 78441 103749 118850 130735 156882 172915 178275 207498 261470 345830 356550 380413 392205 518745 653675 760826 784410 864575 1037490 1141239 1307350 1729150 1902065 1961025 2282478 2593725 3804130 3922050 5187450 5706195 9510325 11412390 19020650 28530975 57061950 82203791 164407582 246611373 411018955 493222746 822037910 904241701 1233056865 1808483402 2055094775 2466113730 2712725103 4110189550 4521208505 5425450206 6165284325 9042417010 12330568650 13563625515 22606042525 27127251030 45212085050 67818127575 135636255150