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131738805 = 355119857
BaseRepresentation
bin1111101101000…
…10110010110101
3100011220000200000
413312202302311
5232211120210
621023341513
73156522102
oct766426265
9304800600
10131738805
11683aa350
1238151899
13213a7073
14136d3aa9
15b873ac0
hex7da2cb5

131738805 has 48 divisors (see below), whose sum is σ = 258358464. Its totient is φ = 63866880.

The previous prime is 131738773. The next prime is 131738807. The reversal of 131738805 is 508837131.

It is not a de Polignac number, because 131738805 - 25 = 131738773 is a prime.

It is a super-2 number, since 2×1317388052 = 34710225485656050, 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 131738805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131738807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8437 + ... + 18293.

It is an arithmetic number, because the mean of its divisors is an integer number (5382468).

Almost surely, 2131738805 is an apocalyptic number.

131738805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131738805 is a deficient number, since it is larger than the sum of its proper divisors (126619659).

131738805 is an equidigital number, since it uses as much as digits as its factorization.

131738805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9888 (or 9876 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 131738805 is about 11477.7526110297. The cubic root of 131738805 is about 508.8282788995.

The spelling of 131738805 in words is "one hundred thirty-one million, seven hundred thirty-eight thousand, eight hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 891 1215 1485 2673 4455 9857 13365 29571 49285 88713 108427 147855 266139 325281 443565 542135 798417 975843 1330695 1626405 2395251 2927529 3992085 4879215 8782587 11976255 14637645 26347761 43912935 131738805