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132135201 = 32115325183
BaseRepresentation
bin1111110000000…
…11100100100001
3100012122011102100
413320003210201
5232311311301
621040041013
73163062552
oct770034441
9305564370
10132135201
1168650150
1238303169
13214b5613
1413798329
15b901286
hex7e03921

132135201 has 24 divisors (see below), whose sum is σ = 212150016. Its totient is φ = 78567840.

The previous prime is 132135197. The next prime is 132135217. The reversal of 132135201 is 102531231.

132135201 is a `hidden beast` number, since 132 + 13 + 520 + 1 = 666.

It is not a de Polignac number, because 132135201 - 22 = 132135197 is a prime.

It is a super-2 number, since 2×1321352012 = 34919422686620802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132131201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7345 + ... + 17838.

It is an arithmetic number, because the mean of its divisors is an integer number (8839584).

Almost surely, 2132135201 is an apocalyptic number.

132135201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132135201 is a deficient number, since it is larger than the sum of its proper divisors (80014815).

132135201 is a wasteful number, since it uses less digits than its factorization.

132135201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25253 (or 25250 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132135201 is about 11495.0076554998. The cubic root of 132135201 is about 509.3381148395.

Adding to 132135201 its reverse (102531231), we get a palindrome (234666432).

The spelling of 132135201 in words is "one hundred thirty-two million, one hundred thirty-five thousand, two hundred one".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 5247 25183 75549 226647 277013 831039 1334699 2493117 4004097 12012291 14681689 44045067 132135201