Search a number
-
+
135151332102252 = 223317151487495607
BaseRepresentation
bin11110101110101101011111…
…001001000001000001101100
3122201112100012201011201211000
4132232231133021001001230
5120203304412004233002
61155235355334400300
740316235000131124
oct3656553711010154
9581470181151730
10135151332102252
113a0773a3646a94
12131a9297800090
135a5493cb9368b
1425535061b1c84
1510958e27cb61c
hex7aeb5f24106c

135151332102252 has 96 divisors (see below), whose sum is σ = 373460635376640. Its totient is φ = 42119620358400.

The previous prime is 135151332102217. The next prime is 135151332102289. The reversal of 135151332102252 is 252201233151531.

135151332102252 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 513 + 32 + 102 + 2 + 5 + 2 = 666.

135151332102252 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 243470568 + ... + 244025039.

It is an arithmetic number, because the mean of its divisors is an integer number (3890214951840).

Almost surely, 2135151332102252 is an apocalyptic number.

135151332102252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135151332102252 is an abundant number, since it is smaller than the sum of its proper divisors (238309303274388).

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

135151332102252 is a wasteful number, since it uses less digits than its factorization.

135151332102252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487495788 (or 487495780 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 135151332102252 its reverse (252201233151531), we get a palindrome (387352565253783).

The spelling of 135151332102252 in words is "one hundred thirty-five trillion, one hundred fifty-one billion, three hundred thirty-two million, one hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 151 153 204 302 306 453 459 604 612 906 918 1359 1812 1836 2567 2718 4077 5134 5436 7701 8154 10268 15402 16308 23103 30804 46206 69309 92412 138618 277236 487495607 974991214 1462486821 1949982428 2924973642 4387460463 5849947284 8287425319 8774920926 13162381389 16574850638 17549841852 24862275957 26324762778 33149701276 49724551914 52649525556 73611836657 74586827871 99449103828 147223673314 149173655742 220835509971 223760483613 294447346628 298347311484 441671019942 447520967226 662506529913 883342039884 895041934452 1251401223169 1325013059826 1987519589739 2502802446338 2650026119652 3754203669507 3975039179478 5005604892676 7508407339014 7950078358956 11262611008521 15016814678028 22525222017042 33787833025563 45050444034084 67575666051126 135151332102252