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135541512 = 233761127
BaseRepresentation
bin10000001010000…
…11001100001000
3100110001020000000
420011003030020
5234144312022
621241043000
73234040521
oct1005031410
9313036000
10135541512
116a567387
1239486460
1322108ba2
1414003848
15bd756ac
hex8143308

135541512 has 128 divisors (see below), whose sum is σ = 390451200. Its totient is φ = 44089920.

The previous prime is 135541499. The next prime is 135541513. The reversal of 135541512 is 215145531.

It is a super-2 number, since 2×1355415122 = 36743002950492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135541513) 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, 1067193 + ... + 1067319.

It is an arithmetic number, because the mean of its divisors is an integer number (3050400).

Almost surely, 2135541512 is an apocalyptic number.

135541512 is a gapful number since it is divisible by the number (12) 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 135541512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195225600).

135541512 is an abundant number, since it is smaller than the sum of its proper divisors (254909688).

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

135541512 is an equidigital number, since it uses as much as digits as its factorization.

135541512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 135541512 is about 11642.2296833553. The cubic root of 135541512 is about 513.6777744916.

The spelling of 135541512 in words is "one hundred thirty-five million, five hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 127 162 183 216 243 244 254 324 366 381 486 488 508 549 648 729 732 762 972 1016 1098 1143 1458 1464 1524 1647 1944 2187 2196 2286 2916 3048 3294 3429 4374 4392 4572 4941 5832 6588 6858 7747 8748 9144 9882 10287 13176 13716 14823 15494 17496 19764 20574 23241 27432 29646 30861 30988 39528 41148 44469 46482 59292 61722 61976 69723 82296 88938 92583 92964 118584 123444 133407 139446 177876 185166 185928 209169 246888 266814 277749 278892 355752 370332 418338 533628 555498 557784 627507 740664 836676 1067256 1110996 1255014 1673352 1882521 2221992 2510028 3765042 5020056 5647563 7530084 11295126 15060168 16942689 22590252 33885378 45180504 67770756 135541512