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135323155320 = 233513960113499
BaseRepresentation
bin111111000000111100…
…0110111101101111000
3110221021220101112221120
41332001320313231320
54204120211432240
6142055552505240
712530301561423
oct1760170675570
9427256345846
10135323155320
1152432436551
122228754b220
13c9b797a892
14679a44a9ba
1537c034ead0
hex1f81e37b78

135323155320 has 128 divisors (see below), whose sum is σ = 409600800000. Its totient is φ = 35764300800.

The previous prime is 135323155301. The next prime is 135323155379. The reversal of 135323155320 is 23551323531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10017931 + ... + 10031429.

It is an arithmetic number, because the mean of its divisors is an integer number (3200006250).

Almost surely, 2135323155320 is an apocalyptic number.

135323155320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135323155320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204800400000).

135323155320 is an abundant number, since it is smaller than the sum of its proper divisors (274277644680).

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

135323155320 is a wasteful number, since it uses less digits than its factorization.

135323155320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14253 (or 14249 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

Adding to 135323155320 its reverse (23551323531), we get a palindrome (158874478851).

The spelling of 135323155320 in words is "one hundred thirty-five billion, three hundred twenty-three million, one hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 601 695 834 1112 1202 1390 1668 1803 2085 2404 2780 3005 3336 3606 4170 4808 5560 6010 7212 8340 9015 12020 13499 14424 16680 18030 24040 26998 36060 40497 53996 67495 72120 80994 83539 107992 134990 161988 167078 202485 250617 269980 323976 334156 404970 417695 501234 539960 668312 809940 835390 1002468 1253085 1619880 1670780 1876361 2004936 2506170 3341560 3752722 5012340 5629083 7505444 8112899 9381805 10024680 11258166 15010888 16225798 18763610 22516332 24338697 28145415 32451596 37527220 40564495 45032664 48677394 56290830 64903192 75054440 81128990 97354788 112581660 121693485 162257980 194709576 225163320 243386970 324515960 486773940 973547880 1127692961 2255385922 3383078883 4510771844 5638464805 6766157766 9021543688 11276929610 13532315532 16915394415 22553859220 27064631064 33830788830 45107718440 67661577660 135323155320