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132135200414 = 27108715535591
BaseRepresentation
bin111101100001111011…
…1110010011010011110
3110122001201200122221122
41323003313302122132
54131103102403124
6140411351530542
712355301446310
oct1730367623236
9418051618848
10132135200414
115104696a878
1221737989a52
13c5ca368729
146576cb97b0
15368553075e
hex1ec3df269e

132135200414 has 32 divisors (see below), whose sum is σ = 226912444416. Its totient is φ = 56530730880.

The previous prime is 132135200401. The next prime is 132135200419. The reversal of 132135200414 is 414002531231.

It is a happy number.

It is a super-2 number, since 2×1321352004142 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132135200419) 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 15 ways as a sum of consecutive naturals, for example, 23630759 + ... + 23636349.

It is an arithmetic number, because the mean of its divisors is an integer number (7091013888).

Almost surely, 2132135200414 is an apocalyptic number.

132135200414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132135200414 is a deficient number, since it is larger than the sum of its proper divisors (94777244002).

132135200414 is a wasteful number, since it uses less digits than its factorization.

132135200414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 132135200414 its reverse (414002531231), we get a palindrome (546137731645).

The spelling of 132135200414 in words is "one hundred thirty-two billion, one hundred thirty-five million, two hundred thousand, four hundred fourteen".

Divisors: 1 2 7 14 1087 1553 2174 3106 5591 7609 10871 11182 15218 21742 39137 78274 1688111 3376222 6077417 8682823 11816777 12154834 17365646 23633554 42541919 60779761 85083838 121559522 9438228601 18876457202 66067600207 132135200414