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135437002245 = 325172310970619
BaseRepresentation
bin111111000100010101…
…1001010011000000101
3110221120211121120120100
41332020223022120011
54204333333032440
6142115140554313
712533153344566
oct1761053123005
9427524546510
10135437002245
1152490725416
12222b96b2999
13ca0542bc1c
1467ab60416d
1537ca33c230
hex1f88aca605

135437002245 has 96 divisors (see below), whose sum is σ = 261757267200. Its totient is φ = 64430733312.

The previous prime is 135437002237. The next prime is 135437002307. The reversal of 135437002245 is 542200734531.

135437002245 is a `hidden beast` number, since 1 + 3 + 543 + 70 + 0 + 2 + 2 + 45 = 666.

It is not a de Polignac number, because 135437002245 - 23 = 135437002237 is a prime.

It is a super-2 number, since 2×1354370022452 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1882546 + ... + 1953164.

It is an arithmetic number, because the mean of its divisors is an integer number (2726638200).

Almost surely, 2135437002245 is an apocalyptic number.

135437002245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135437002245 is a deficient number, since it is larger than the sum of its proper divisors (126320264955).

135437002245 is a wasteful number, since it uses less digits than its factorization.

135437002245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70779 (or 70776 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 135437002245 its reverse (542200734531), we get a palindrome (677637736776).

The spelling of 135437002245 in words is "one hundred thirty-five billion, four hundred thirty-seven million, two thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 23 45 51 69 85 109 115 153 207 255 327 345 391 545 765 981 1035 1173 1635 1853 1955 2507 3519 4905 5559 5865 7521 9265 12535 16677 17595 22563 27795 37605 42619 70619 83385 112815 127857 211857 213095 353095 383571 635571 639285 1059285 1200523 1624237 1917855 3177855 3601569 4872711 6002615 7697471 8121185 10804707 14618133 18007845 23092413 24363555 27612029 38487355 54023535 69277239 73090665 82836087 115462065 130857007 138060145 177041833 248508261 346386195 392571021 414180435 531125499 654285035 885209165 1177713063 1242541305 1593376497 1962855105 2655627495 3009711161 5888565315 7966882485 9029133483 15048555805 27087400449 45145667415 135437002245