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135246023160 = 233517319993259
BaseRepresentation
bin111110111110101001…
…0101000100111111000
3110221002112020211111220
41331331102220213320
54203440440220120
6142044155352040
712525344141343
oct1757522504770
9427075224456
10135246023160
11523a2943a66
1222265752620
13c9a49b2951
1467900cd45a
1537b86b5b40
hex1f7d4a89f8

135246023160 has 128 divisors (see below), whose sum is σ = 408412800000. Its totient is φ = 35828199936.

The previous prime is 135246023149. The next prime is 135246023161. The reversal of 135246023160 is 61320642531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135246023161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41497611 + ... + 41500869.

It is an arithmetic number, because the mean of its divisors is an integer number (3190725000).

Almost surely, 2135246023160 is an apocalyptic number.

135246023160 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 135246023160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204206400000).

135246023160 is an abundant number, since it is smaller than the sum of its proper divisors (273166776840).

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

135246023160 is a wasteful number, since it uses less digits than its factorization.

135246023160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 135246023160 its reverse (61320642531), we get a palindrome (196566665691).

The spelling of 135246023160 in words is "one hundred thirty-five billion, two hundred forty-six million, twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 1999 2076 2595 3259 3460 3998 4152 5190 5997 6518 6920 7996 9777 9995 10380 11994 13036 15992 16295 19554 19990 20760 23988 26072 29985 32590 39108 39980 47976 48885 59970 65180 78216 79960 97770 119940 130360 195540 239880 345827 391080 563807 691654 1037481 1127614 1383308 1691421 1729135 2074962 2255228 2766616 2819035 3382842 3458270 4149924 4510456 5187405 5638070 6514741 6765684 6916540 8299848 8457105 10374810 11276140 13029482 13531368 13833080 16914210 19544223 20749620 22552280 26058964 32573705 33828420 39088446 41499240 52117928 65147410 67656840 78176892 97721115 130294820 156353784 195442230 260589640 390884460 781768920 1127050193 2254100386 3381150579 4508200772 5635250965 6762301158 9016401544 11270501930 13524602316 16905752895 22541003860 27049204632 33811505790 45082007720 67623011580 135246023160