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137141207137782 = 23313271913829679
BaseRepresentation
bin11111001011101010101100…
…111011110111110111110110
3122222120120102112010002122000
4133023222230323313313312
5120433410143011402112
61203401444550320130
740613060646635301
oct3713525473676766
9588516375102560
10137141207137782
113a774294190141
121346aa74959046
135b6a48b895ac3
1425c195408db38
1510cc5569647dc
hex7cbaacef7df6

137141207137782 has 32 divisors (see below), whose sum is σ = 304987897804800. Its totient is φ = 45679286754504.

The previous prime is 137141207137763. The next prime is 137141207137793. The reversal of 137141207137782 is 287731702141731.

137141207137782 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 4 + 120 + 71 + 377 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956843182 + ... + 956986497.

It is an arithmetic number, because the mean of its divisors is an integer number (9530871806400).

Almost surely, 2137141207137782 is an apocalyptic number.

137141207137782 is an abundant number, since it is smaller than the sum of its proper divisors (167846690667018).

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

137141207137782 is a wasteful number, since it uses less digits than its factorization.

137141207137782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913831017 (or 1913831011 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 137141207137782 in words is "one hundred thirty-seven trillion, one hundred forty-one billion, two hundred seven million, one hundred thirty-seven thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 1327 2654 3981 7962 11943 23886 35829 71658 1913829679 3827659358 5741489037 11482978074 17224467111 34448934222 51673401333 103346802666 2539651984033 5079303968066 7618955952099 15237911904198 22856867856297 45713735712594 68570603568891 137141207137782