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137489976774544 = 241249223472
BaseRepresentation
bin11111010000101111100001…
…001110011100111110010000
3200000210220122212201100221011
4133100233201032130332100
5121010113433023241134
61204230005014140304
740650215536634602
oct3720574116347620
9600726585640834
10137489976774544
113a899198595369
121350658b051694
135b9433159b834
1425d479c36b172
1510d666a981264
hex7d0be139cf90

137489976774544 has 45 divisors (see below), whose sum is σ = 266713921187217. Its totient is φ = 68660681236992.

The previous prime is 137489976774517. The next prime is 137489976774583. The reversal of 137489976774544 is 445477679984731.

The square root of 137489976774544 is 11725612.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56265181024144 + 81224795750400 = 7501012^2 + 9012480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58581156379 + ... + 58581158725.

Almost surely, 2137489976774544 is an apocalyptic number.

137489976774544 is the 11725612-nd square number.

It is an amenable number.

137489976774544 is a deficient number, since it is larger than the sum of its proper divisors (129223944412673).

137489976774544 is an frugal number, since it uses more digits than its factorization.

137489976774544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 3598 counting only the distinct ones).

The product of its digits is 35846737920, while the sum is 85.

The spelling of 137489976774544 in words is "one hundred thirty-seven trillion, four hundred eighty-nine billion, nine hundred seventy-six million, seven hundred seventy-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 1249 2347 2498 4694 4996 9388 9992 18776 19984 37552 1560001 2931403 3120002 5508409 5862806 6240004 11016818 11725612 12480008 22033636 23451224 24960016 44067272 46902448 88134544 3661322347 6880002841 7322644694 13760005682 14645289388 27520011364 29290578776 55040022728 58581157552 110080045456 8593123548409 17186247096818 34372494193636 68744988387272 137489976774544