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132115656375 = 3253438873079
BaseRepresentation
bin111101100001010110…
…1001110111010110111
3110122000100220201120100
41323002231032322313
54131033102001000
6140405413005143
712354643356513
oct1730255167267
9418010821510
10132115656375
115103693107a
12217313237b3
13c5c62b4a01
14657446d143
15368396ea00
hex1ec2b4eeb7

132115656375 has 96 divisors (see below), whose sum is σ = 244053089280. Its totient is φ = 68723121600.

The previous prime is 132115656331. The next prime is 132115656389. The reversal of 132115656375 is 573656511231.

132115656375 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 5 + 6 + 5 + 637 + 5 = 666.

It is not a de Polignac number, because 132115656375 - 26 = 132115656311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 132115656375.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 42907086 + ... + 42910164.

It is an arithmetic number, because the mean of its divisors is an integer number (2542219680).

Almost surely, 2132115656375 is an apocalyptic number.

132115656375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132115656375 is a deficient number, since it is larger than the sum of its proper divisors (111937432905).

132115656375 is a wasteful number, since it uses less digits than its factorization.

132115656375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4017 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The spelling of 132115656375 in words is "one hundred thirty-two billion, one hundred fifteen million, six hundred fifty-six thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 43 45 75 125 129 215 225 375 387 645 887 1075 1125 1935 2661 3079 3225 4435 5375 7983 9237 9675 13305 15395 16125 22175 27711 38141 39915 46185 48375 66525 76975 110875 114423 132397 138555 190705 199575 230925 332625 343269 384875 397191 572115 661985 692775 953525 997875 1154625 1191573 1716345 1985955 2731073 2860575 3309925 3463875 4767625 5957865 8193219 8581725 9929775 13655365 14302875 16549625 24579657 29789325 40966095 42908625 49648875 68276825 117436139 122898285 148946625 204830475 341384125 352308417 587180695 614491425 1024152375 1056925251 1761542085 2935903475 3072457125 5284626255 8807710425 14679517375 26423131275 44038552125 132115656375