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131637142 = 27132234159
BaseRepresentation
bin1111101100010…
…01111110010110
3100011200212012201
413312021332112
5232144342032
621021235114
73155616520
oct766117626
9304625181
10131637142
116833aa2a
1238102a9a
132136ca00
14136a8a10
15b8538e7
hex7d89f96

131637142 has 96 divisors (see below), whose sum is σ = 265628160. Its totient is φ = 47773440.

The previous prime is 131637139. The next prime is 131637161. The reversal of 131637142 is 241736131.

It is a self number, because there is not a number n which added to its sum of digits gives 131637142.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2231109 + ... + 2231167.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2131637142 is an apocalyptic number.

131637142 is an abundant number, since it is smaller than the sum of its proper divisors (133991018).

131637142 is a wasteful number, since it uses less digits than its factorization.

131637142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 131637142 is about 11473.3230582948. The cubic root of 131637142 is about 508.6973574106.

The spelling of 131637142 in words is "one hundred thirty-one million, six hundred thirty-seven thousand, one hundred forty-two".

Divisors: 1 2 7 13 14 23 26 41 46 59 82 91 118 161 169 182 287 299 322 338 413 533 574 598 767 826 943 1066 1183 1357 1534 1886 2093 2366 2419 2714 3731 3887 4186 4838 5369 6601 6929 7462 7774 9499 9971 10738 12259 13202 13858 16933 17641 18998 19942 24518 27209 31447 33866 35282 48503 54418 55637 62894 69797 85813 97006 111274 123487 139594 159367 171626 220129 229333 246974 318734 389459 408811 440258 458666 723281 778918 817622 1115569 1446562 1605331 2231138 2861677 3210662 5062967 5723354 9402653 10125934 18805306 65818571 131637142