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137137104 = 24331324419
BaseRepresentation
bin10000010110010…
…00101111010000
3100120001021202000
420023020233100
5240101341404
621335154000
73253434426
oct1013105720
9316037660
10137137104
1170457155
1239b15900
1322547220
14142db116
15c08d339
hex82c8bd0

137137104 has 80 divisors (see below), whose sum is σ = 423931200. Its totient is φ = 42194304.

The previous prime is 137137103. The next prime is 137137159. The reversal of 137137104 is 401731731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137137103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6594 + ... + 17825.

It is an arithmetic number, because the mean of its divisors is an integer number (5299140).

Almost surely, 2137137104 is an apocalyptic number.

It is an amenable number.

137137104 is an abundant number, since it is smaller than the sum of its proper divisors (286794096).

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

137137104 is a wasteful number, since it uses less digits than its factorization.

137137104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24449 (or 24437 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 137137104 is about 11710.5552387579. Note that the first 3 decimals coincide. The cubic root of 137137104 is about 515.6855845506.

Adding to 137137104 its reverse (401731731), we get a palindrome (538868835).

The spelling of 137137104 in words is "one hundred thirty-seven million, one hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 24419 48838 73257 97676 146514 195352 219771 293028 317447 390704 439542 586056 634894 659313 879084 952341 1172112 1269788 1318626 1758168 1904682 2539576 2637252 2857023 3516336 3809364 5079152 5274504 5714046 7618728 8571069 10549008 11428092 15237456 17142138 22856184 34284276 45712368 68568552 137137104