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137002124196 = 22337251721991
BaseRepresentation
bin111111110010111110…
…1101000001110100100
3111002121220200000021000
41333211331220032210
54221040020433241
6142534330553300
712620016561420
oct1774575501644
9432556600230
10137002124196
1153114144733
1222675898830
13cbc47725a2
1468b9419b80
15386c94beb6
hex1fe5f683a4

137002124196 has 96 divisors (see below), whose sum is σ = 407550044160. Its totient is φ = 38987460000.

The previous prime is 137002124131. The next prime is 137002124197. The reversal of 137002124196 is 691421200731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137002124196.

It is not an unprimeable number, because it can be changed into a prime (137002124197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171240 + ... + 550751.

It is an arithmetic number, because the mean of its divisors is an integer number (4245312960).

Almost surely, 2137002124196 is an apocalyptic number.

It is an amenable number.

137002124196 is an abundant number, since it is smaller than the sum of its proper divisors (270547919964).

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

137002124196 is a wasteful number, since it uses less digits than its factorization.

137002124196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722262 (or 722254 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 137002124196 in words is "one hundred thirty-seven billion, two million, one hundred twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 251 252 378 502 753 756 1004 1506 1757 2259 3012 3514 4518 5271 6777 7028 9036 10542 13554 15813 21084 27108 31626 47439 63252 94878 189756 721991 1443982 2165973 2887964 4331946 5053937 6497919 8663892 10107874 12995838 15161811 19493757 20215748 25991676 30323622 38987514 45485433 60647244 77975028 90970866 136456299 181219741 181941732 272912598 362439482 543659223 545825196 724878964 1087318446 1268538187 1630977669 2174636892 2537076374 3261955338 3805614561 4892933007 5074152748 6523910676 7611229122 9785866014 11416843683 15222458244 19571732028 22833687366 34250531049 45667374732 68501062098 137002124196