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132035065237153 = 132319724128613251
BaseRepresentation
bin11110000001010111001111…
…001010010100111010100001
3122022111102120201021202020001
4132001113033022110322201
5114301230303200042103
61144452023244420001
736545135000621611
oct3601271712247241
9568442521252201
10132035065237153
11390858361a7751
1212985344247601
135889b12701ba0
142486761a9aa41
15103e805be101d
hex7815cf294ea1

132035065237153 has 64 divisors (see below), whose sum is σ = 149844221581824. Its totient is φ = 115430515200000.

The previous prime is 132035065237139. The next prime is 132035065237211. The reversal of 132035065237153 is 351732560530231.

It is a de Polignac number, because none of the positive numbers 2k-132035065237153 is a prime.

It is a super-2 number, since 2×1320350652371532 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132035065237253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40613675778 + ... + 40613679028.

It is an arithmetic number, because the mean of its divisors is an integer number (2341315962216).

Almost surely, 2132035065237153 is an apocalyptic number.

132035065237153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132035065237153 is a deficient number, since it is larger than the sum of its proper divisors (17809156344671).

132035065237153 is a wasteful number, since it uses less digits than its factorization.

132035065237153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586.

The product of its (nonzero) digits is 1701000, while the sum is 46.

The spelling of 132035065237153 in words is "one hundred thirty-two trillion, thirty-five billion, sixty-five million, two hundred thirty-seven thousand, one hundred fifty-three".

Divisors: 1 13 23 197 241 299 2561 2861 3133 3251 4531 5543 37193 42263 47477 58903 65803 72059 74773 563617 617201 640447 689501 783491 855439 972049 1091971 7327021 8325811 8963513 9301111 10185383 12963191 14195623 14730281 15858523 18020293 120914443 135831697 154347727 168521483 191493653 206160799 213925553 234263809 1765812061 1832318867 2006520451 2241567751 2781032189 3124129031 3549997721 23820145271 29140380763 40613677403 42143333941 46149970373 51556058273 441588846947 547863341233 670228757549 5740655010311 10156543479781 132035065237153