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132811245 = 345779593
BaseRepresentation
bin1111110101010…
…00100111101101
3100020220111210000
413322220213231
5232444424440
621102334513
73201606540
oct772504755
9306814700
10132811245
1168a72066
123858a439
1321691248
14138d2857
15b9d6730
hex7ea89ed

132811245 has 80 divisors (see below), whose sum is σ = 275996160. Its totient is φ = 59844096.

The previous prime is 132811243. The next prime is 132811253. The reversal of 132811245 is 542118231.

It is not a de Polignac number, because 132811245 - 21 = 132811243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132811243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 223669 + ... + 224261.

It is an arithmetic number, because the mean of its divisors is an integer number (3449952).

Almost surely, 2132811245 is an apocalyptic number.

132811245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132811245 is an abundant number, since it is smaller than the sum of its proper divisors (143184915).

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

132811245 is an equidigital number, since it uses as much as digits as its factorization.

132811245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 132811245 is about 11524.3761219426. The cubic root of 132811245 is about 510.2052806830.

Adding to 132811245 its reverse (542118231), we get a palindrome (674929476).

The spelling of 132811245 in words is "one hundred thirty-two million, eight hundred eleven thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 79 81 105 135 189 237 315 395 405 553 567 593 711 945 1185 1659 1779 2133 2765 2835 2965 3555 4151 4977 5337 6399 8295 8895 10665 12453 14931 16011 20755 24885 26685 31995 37359 44793 46847 48033 62265 74655 80055 112077 140541 186795 223965 234235 240165 327929 336231 421623 560385 702705 983787 1264869 1639645 1681155 2108115 2951361 3794607 4918935 6324345 8854083 14756805 18973035 26562249 44270415 132811245