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137122465928 = 23725923172
BaseRepresentation
bin111111110110100100…
…0101100100010001000
3111002221022010000002012
41333231020230202020
54221311322402203
6142554310155052
712623010505100
oct1775510544210
9432838100065
10137122465928
115317606a208
12226aa052a88
13cc13688c06
1468cb3c4200
1538782bdbd8
hex1fed22c888

137122465928 has 108 divisors (see below), whose sum is σ = 305198736885. Its totient is φ = 57588482112.

The previous prime is 137122465901. The next prime is 137122465933. The reversal of 137122465928 is 829564221731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 100082384164 + 37040081764 = 316358^2 + 192458^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=261842.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 432562826 + ... + 432563142.

Almost surely, 2137122465928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137122465928

137122465928 is an abundant number, since it is smaller than the sum of its proper divisors (168076270957).

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

137122465928 is an frugal number, since it uses more digits than its factorization.

137122465928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 385 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

Multiplying 137122465928 by its sum of digits (50), we get a square (6856123296400 = 26184202).

The spelling of 137122465928 in words is "one hundred thirty-seven billion, one hundred twenty-two million, four hundred sixty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 317 392 413 472 634 826 1268 1652 2219 2536 2891 3304 3481 4438 5782 6962 8876 11564 13924 15533 17752 18703 23128 24367 27848 31066 37406 48734 62132 74812 97468 100489 124264 130921 149624 170569 194936 200978 261842 341138 401956 523684 682276 703423 803912 916447 1047368 1103477 1364552 1406846 1832894 2206954 2813692 3665788 4413908 4923961 5627384 5928851 7331576 7724339 8827816 9847922 11857702 15448678 19695844 23715404 30897356 39391688 41501957 47430808 54070373 61794712 83003914 108140746 166007828 216281492 290513699 332015656 349802209 432562984 581027398 699604418 1162054796 1399208836 2324109592 2448615463 2798417672 4897230926 9794461852 17140308241 19588923704 34280616482 68561232964 137122465928