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137268088722 = 2363123132
BaseRepresentation
bin111111111010111010…
…0001100111110010010
3111010022110010102000000
41333311310030332102
54222111112314342
6143020551310430
712626426334252
oct1776564147622
9433273112000
10137268088722
1153240291826
122272a97b416
13cc378b464b
14690288d962
153885e8644c
hex1ff5d0cf92

137268088722 has 126 divisors (see below), whose sum is σ = 320014067301. Its totient is φ = 44138558880.

The previous prime is 137268088709. The next prime is 137268088777. The reversal of 137268088722 is 227880862731.

It can be written as a sum of positive squares in 2 ways, for example, as 79562920761 + 57705167961 = 282069^2 + 240219^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=261981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 438556038 + ... + 438556350.

Almost surely, 2137268088722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137268088722

137268088722 is an abundant number, since it is smaller than the sum of its proper divisors (182745978579).

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

137268088722 is an frugal number, since it uses more digits than its factorization.

137268088722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 137268088722 in words is "one hundred thirty-seven billion, two hundred sixty-eight million, eighty-eight thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 313 486 558 626 729 837 939 961 1458 1674 1878 1922 2511 2817 2883 5022 5634 5766 7533 8451 8649 9703 15066 16902 17298 19406 22599 25353 25947 29109 45198 50706 51894 58218 76059 77841 87327 97969 152118 155682 174654 195938 228177 233523 261981 293907 300793 456354 467046 523962 587814 601586 700569 785943 881721 902379 1401138 1571886 1763442 1804758 2357829 2645163 2707137 3037039 4715658 5290326 5414274 6074078 7073487 7935489 8121411 9111117 14146974 15870978 16242822 18222234 23806467 24364233 27333351 47612934 48728466 54666702 71419401 73092699 82000053 94148209 142838802 146185398 164000106 188296418 219278097 246000159 282444627 438556194 492000318 564889254 738000477 847333881 1476000954 1694667762 2214001431 2542001643 4428002862 5084003286 7626004929 15252009858 22878014787 45756029574 68634044361 137268088722