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137235425208 = 23374756330871
BaseRepresentation
bin111111111001111011…
…1100110011110111000
3111010020011122221002020
41333303313212132320
54222024232101313
6143013423234440
712625551603330
oct1776367463670
9433204587066
10137235425208
1153223902192
122271ba48a20
13cc30bb921b
1468dc3ca0c0
153883183323
hex1ff3de67b8

137235425208 has 128 divisors (see below), whose sum is σ = 401168056320. Its totient is φ = 38306459520.

The previous prime is 137235425167. The next prime is 137235425219. The reversal of 137235425208 is 802524532731.

It is a Cunningham number, because it is equal to 3704532-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 137235425208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4430013 + ... + 4460883.

It is an arithmetic number, because the mean of its divisors is an integer number (3134125440).

Almost surely, 2137235425208 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 137235425208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200584028160).

137235425208 is an abundant number, since it is smaller than the sum of its proper divisors (263932631112).

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

137235425208 is a wasteful number, since it uses less digits than its factorization.

137235425208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31497 (or 31493 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

Adding to 137235425208 its reverse (802524532731), we get a palindrome (939759957939).

The spelling of 137235425208 in words is "one hundred thirty-seven billion, two hundred thirty-five million, four hundred twenty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 563 564 658 987 1126 1128 1316 1689 1974 2252 2632 3378 3941 3948 4504 6756 7882 7896 11823 13512 15764 23646 26461 30871 31528 47292 52922 61742 79383 92613 94584 105844 123484 158766 185226 185227 211688 216097 246968 317532 370452 370454 432194 555681 635064 648291 740904 740908 864388 1111362 1296582 1450937 1481816 1728776 2222724 2593164 2901874 4352811 4445448 5186328 5803748 8705622 10156559 11607496 17380373 17411244 20313118 30469677 34760746 34822488 40626236 52141119 60939354 69521492 81252472 104282238 121662611 121878708 139042984 208564476 243325222 243757416 364987833 417128952 486650444 729975666 816877531 973300888 1459951332 1633755062 2450632593 2919902664 3267510124 4901265186 5718142717 6535020248 9802530372 11436285434 17154428151 19605060744 22872570868 34308856302 45745141736 68617712604 137235425208