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136131216150 = 235219355913421
BaseRepresentation
bin111111011001000001…
…1011000001100010110
3111000101012220022000110
41332302003120030112
54212244042404100
6142312100223450
712556313150046
oct1766203301426
9430335808013
10136131216150
1152807582616
122247209ab86
13cab61c3797
1468358b3726
15381b26a250
hex1fb20d8316

136131216150 has 96 divisors (see below), whose sum is σ = 355500460800. Its totient is φ = 34378819200.

The previous prime is 136131216139. The next prime is 136131216157. The reversal of 136131216150 is 51612131631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136131216157) 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, 10136440 + ... + 10149860.

It is an arithmetic number, because the mean of its divisors is an integer number (3703129800).

Almost surely, 2136131216150 is an apocalyptic number.

136131216150 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 136131216150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177750230400).

136131216150 is an abundant number, since it is smaller than the sum of its proper divisors (219369244650).

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

136131216150 is a wasteful number, since it uses less digits than its factorization.

136131216150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17014 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 136131216150 its reverse (51612131631), we get a palindrome (187743347781).

The spelling of 136131216150 in words is "one hundred thirty-six billion, one hundred thirty-one million, two hundred sixteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850 3559 7118 10677 13421 17795 21354 26842 35590 40263 53385 67105 67621 80526 88975 106770 134210 135242 177950 201315 202863 254999 266925 335525 338105 402630 405726 509998 533850 671050 676210 764997 1006575 1014315 1274995 1529994 1690525 2013150 2028630 2549990 3381050 3824985 5071575 6374975 7649970 10143150 12749950 19124925 38249850 47765339 95530678 143296017 238826695 286592034 477653390 716480085 907541441 1194133475 1432960170 1815082882 2388266950 2722624323 3582400425 4537707205 5445248646 7164800850 9075414410 13613121615 22688536025 27226243230 45377072050 68065608075 136131216150