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137633771142 = 23272808738891
BaseRepresentation
bin1000000000101110011…
…1001010111010000110
3111011020221012222222100
42000023213022322012
54223333221134032
6143121133212530
712641456515620
oct2001347127206
9434227188870
10137633771142
11534087483aa
1222811331146
13cc9559b98a
14693927dc10
1538a811b97c
hex200b9cae86

137633771142 has 48 divisors (see below), whose sum is σ = 340828330752. Its totient is φ = 39321523440.

The previous prime is 137633771141. The next prime is 137633771159. The reversal of 137633771142 is 241177336731.

137633771142 is a `hidden beast` number, since 1 + 3 + 7 + 633 + 7 + 7 + 1 + 1 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137633771141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3519517 + ... + 3558407.

It is an arithmetic number, because the mean of its divisors is an integer number (7100590224).

Almost surely, 2137633771142 is an apocalyptic number.

137633771142 is an abundant number, since it is smaller than the sum of its proper divisors (203194559610).

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

137633771142 is a wasteful number, since it uses less digits than its factorization.

137633771142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66993 (or 66990 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The spelling of 137633771142 in words is "one hundred thirty-seven billion, six hundred thirty-three million, seven hundred seventy-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 28087 38891 56174 77782 84261 116673 168522 196609 233346 252783 272237 350019 393218 505566 544474 589827 700038 816711 1179654 1633422 1769481 2450133 3538962 4900266 1092331517 2184663034 3276994551 6553989102 7646320619 9830983653 15292641238 19661967306 22938961857 45877923714 68816885571 137633771142