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132718905 = 34511313
BaseRepresentation
bin1111110100100…
…10000100111001
3100020201211010000
413322102010321
5232434001110
621100343213
73201043404
oct772220471
9306654100
10132718905
1168a09750
1238544b09
132165b1c7
14138aad3b
15b9b91c0
hex7e92139

132718905 has 80 divisors (see below), whose sum is σ = 268190208. Its totient is φ = 62272800.

The previous prime is 132718903. The next prime is 132718921. The reversal of 132718905 is 509817231.

It is not a de Polignac number, because 132718905 - 21 = 132718903 is a prime.

It is a super-2 number, since 2×1327189052 = 35228615488798050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132718905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132718903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4281240 + ... + 4281270.

Almost surely, 2132718905 is an apocalyptic number.

132718905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132718905 is an abundant number, since it is smaller than the sum of its proper divisors (135471303).

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

132718905 is an frugal number, since it uses more digits than its factorization.

132718905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 132718905 is about 11520.3691347109. The cubic root of 132718905 is about 510.0870093762.

The spelling of 132718905 in words is "one hundred thirty-two million, seven hundred eighteen thousand, nine hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 81 93 99 135 155 165 279 297 341 405 465 495 837 891 961 1023 1395 1485 1705 2511 2883 3069 4185 4455 4805 5115 8649 9207 10571 12555 14415 15345 25947 27621 29791 31713 43245 46035 52855 77841 89373 95139 129735 138105 148955 158565 268119 285417 327701 389205 446865 475695 804357 856251 983103 1340595 1427085 1638505 2413071 2949309 4021785 4281255 4915515 8847927 12065355 14746545 26543781 44239635 132718905