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137044908 = 2232711133803
BaseRepresentation
bin10000010101100…
…10001110101100
3100112212121021100
420022302032230
5240040414113
621333203100
73252601560
oct1012621654
9315777240
10137044908
11703a3960
1239a90490
1322514280
14142b56a0
15c070d73
hex82b23ac

137044908 has 144 divisors (see below), whose sum is σ = 465244416. Its totient is φ = 32849280.

The previous prime is 137044907. The next prime is 137044927. The reversal of 137044908 is 809440731.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (137044907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34135 + ... + 37937.

It is an arithmetic number, because the mean of its divisors is an integer number (3230864).

Almost surely, 2137044908 is an apocalyptic number.

137044908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137044908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232622208).

137044908 is an abundant number, since it is smaller than the sum of its proper divisors (328199508).

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

137044908 is a wasteful number, since it uses less digits than its factorization.

137044908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137044908 is about 11706.6181282213. The cubic root of 137044908 is about 515.5699951022.

The spelling of 137044908 in words is "one hundred thirty-seven million, forty-four thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 3803 4004 5148 6006 7606 9009 11409 12012 15212 18018 22818 26621 34227 36036 41833 45636 49439 53242 68454 79863 83666 98878 106484 125499 136908 148317 159726 167332 197756 239589 250998 292831 296634 319452 346073 376497 444951 479178 501996 543829 585662 593268 692146 752994 878493 889902 958356 1038219 1087658 1171324 1384292 1505988 1631487 1756986 1779804 2076438 2175316 2635479 3114657 3262974 3513972 3806803 4152876 4894461 5270958 6229314 6525948 7613606 9788922 10541916 11420409 12458628 15227212 19577844 22840818 34261227 45681636 68522454 137044908