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135597338442 = 233172310362351
BaseRepresentation
bin111111001001000111…
…0110010111101001010
3110222000000022111111000
41332102032302331022
54210200404312232
6142143105315430
712540141234216
oct1762216627512
9428000274430
10135597338442
1152563187375
1222343335b76
13ca2c709707
1467c4a1d946
1537d945e27c
hex1f923b2f4a

135597338442 has 128 divisors (see below), whose sum is σ = 336162078720. Its totient is φ = 40295059200.

The previous prime is 135597338431. The next prime is 135597338453. The reversal of 135597338442 is 244833795531.

135597338442 is a `hidden beast` number, since 1 + 3 + 5 + 597 + 3 + 3 + 8 + 4 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (135597338431) and next prime (135597338453).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2143567 + ... + 2205917.

It is an arithmetic number, because the mean of its divisors is an integer number (2626266240).

Almost surely, 2135597338442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135597338442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168081039360).

135597338442 is an abundant number, since it is smaller than the sum of its proper divisors (200564740278).

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

135597338442 is a wasteful number, since it uses less digits than its factorization.

135597338442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62505 (or 62499 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 135597338442 in words is "one hundred thirty-five billion, five hundred ninety-seven million, three hundred thirty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 103 138 153 206 207 306 309 391 414 459 618 621 782 918 927 1173 1242 1751 1854 2346 2369 2781 3502 3519 4738 5253 5562 7038 7107 10506 10557 14214 15759 21114 21321 31518 40273 42642 47277 62351 63963 80546 94554 120819 124702 127926 187053 241638 362457 374106 561159 724914 1059967 1087371 1122318 1434073 1683477 2119934 2174742 2868146 3179901 3366954 4302219 6359802 6422153 8604438 9539703 12844306 12906657 19079406 19266459 24379241 25813314 28619109 38532918 38719971 48758482 57238218 57799377 73137723 77439942 109176601 115598754 146275446 147709519 173398131 218353202 219413169 295419038 327529803 346796262 438826338 443128557 655059606 658239507 886257114 982589409 1316479014 1329385671 1965178818 2511061823 2658771342 2947768227 3988157013 5022123646 5895536454 7533185469 7976314026 15066370938 22599556407 45199112814 67798669221 135597338442