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138151868360 = 23511372229351
BaseRepresentation
bin1000000010101001111…
…1100011011111001000
3111012121001010001202012
42000222133203133020
54230413334241420
6143244401555052
712660350335262
oct2005237433710
9435531101665
10138151868360
1153654145520
1222936945a88
1310048a1c08c
146987dc6b32
1538d885bdc5
hex202a7e37c8

138151868360 has 96 divisors (see below), whose sum is σ = 348514125120. Its totient is φ = 48879072000.

The previous prime is 138151868357. The next prime is 138151868383. The reversal of 138151868360 is 63868151831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 138151868299 and 138151868308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487685 + ... + 717035.

It is an arithmetic number, because the mean of its divisors is an integer number (3630355470).

Almost surely, 2138151868360 is an apocalyptic number.

138151868360 is a gapful number since it is divisible by the number (10) 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 138151868360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174257062560).

138151868360 is an abundant number, since it is smaller than the sum of its proper divisors (210362256760).

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

138151868360 is a wasteful number, since it uses less digits than its factorization.

138151868360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229447 (or 229406 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 138151868360 in words is "one hundred thirty-eight billion, one hundred fifty-one million, eight hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1369 1480 1628 2035 2738 3256 4070 5476 6845 8140 10952 13690 15059 16280 27380 30118 54760 60236 75295 120472 150590 229351 301180 458702 602360 917404 1146755 1834808 2293510 2522861 4587020 5045722 8485987 9174040 10091444 12614305 16971974 20182888 25228610 33943948 42429935 50457220 67887896 84859870 93345857 100914440 169719740 186691714 313981519 339439480 373383428 466729285 627963038 746766856 933458570 1255926076 1569907595 1866917140 2511852152 3139815190 3453796709 3733834280 6279630380 6907593418 12559260760 13815186836 17268983545 27630373672 34537967090 69075934180 138151868360