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135051332 = 221317374129
BaseRepresentation
bin10000000110010…
…11100001000100
3100102010022121012
420003023201010
5234033120312
621222341352
73226626443
oct1003134104
9312108535
10135051332
116a262079
123928a858
1321c96a40
1413d16d5a
15bcca322
hex80cb844

135051332 has 48 divisors (see below), whose sum is σ = 276842160. Its totient is φ = 57065472.

The previous prime is 135051317. The next prime is 135051337. The reversal of 135051332 is 233150531.

It can be written as a sum of positive squares in 8 ways, for example, as 5683456 + 129367876 = 2384^2 + 11374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135051298 and 135051307.

It is not an unprimeable number, because it can be changed into a prime (135051337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30644 + ... + 34772.

It is an arithmetic number, because the mean of its divisors is an integer number (5767545).

Almost surely, 2135051332 is an apocalyptic number.

It is an amenable number.

135051332 is an abundant number, since it is smaller than the sum of its proper divisors (141790828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135051332 is a wasteful number, since it uses less digits than its factorization.

135051332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 135051332 is about 11621.1588062465. The cubic root of 135051332 is about 513.0577953825.

The spelling of 135051332 in words is "one hundred thirty-five million, fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 37 52 68 74 148 221 442 481 629 884 962 1258 1924 2516 4129 8177 8258 16354 16516 32708 53677 70193 107354 140386 152773 214708 280772 305546 611092 912509 1825018 1986049 2597141 3650036 3972098 5194282 7944196 10388564 33762833 67525666 135051332