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135270764073 = 3517149219767
BaseRepresentation
bin111110111111011000…
…1000000111000101001
3110221011020210210200000
41331332301000320221
54204013303422243
6142050441533213
712526064344314
oct1757661007051
9427136723600
10135270764073
11524059021a5
1222271aa4209
13c9a9b65c43
1467934cd97b
1537ba9515d3
hex1f7ec40e29

135270764073 has 48 divisors (see below), whose sum is σ = 215987990400. Its totient is φ = 84305753856.

The previous prime is 135270764071. The next prime is 135270764077. The reversal of 135270764073 is 370467072531.

135270764073 is a `hidden beast` number, since 13 + 527 + 0 + 7 + 6 + 40 + 73 = 666.

It is not a de Polignac number, because 135270764073 - 21 = 135270764071 is a prime.

It is a super-2 number, since 2×1352707640732 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135270764071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505636 + ... + 725402.

It is an arithmetic number, because the mean of its divisors is an integer number (4499749800).

Almost surely, 2135270764073 is an apocalyptic number.

It is an amenable number.

135270764073 is a deficient number, since it is larger than the sum of its proper divisors (80717226327).

135270764073 is a wasteful number, since it uses less digits than its factorization.

135270764073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219948 (or 219936 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 135270764073 in words is "one hundred thirty-five billion, two hundred seventy million, seven hundred sixty-four thousand, seventy-three".

Divisors: 1 3 9 17 27 51 81 149 153 243 447 459 1341 1377 2533 4023 4131 7599 12069 22797 36207 68391 205173 219767 615519 659301 1977903 3736039 5933709 11208117 17801127 32745283 33624351 53403381 98235849 100873053 294707547 302619159 556669811 884122641 907857477 1670009433 2652367923 5010028299 7957103769 15030084897 45090254691 135270764073