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137154364344 = 23333717161457
BaseRepresentation
bin111111110111100001…
…0011000001110111000
3111010000112010121111000
41333233002120032320
54221343004124334
6143001410005000
712623545601304
oct1775702301670
9433015117430
10137154364344
1153192076a38
12226b8876760
13cc1a17700a
1468d1728d04
15387aec0299
hex1fef0983b8

137154364344 has 64 divisors (see below), whose sum is σ = 391281242400. Its totient is φ = 44482493952.

The previous prime is 137154364283. The next prime is 137154364349. The reversal of 137154364344 is 443463451731.

It is a happy number.

137154364344 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 543 + 64 + 3 + 44 = 666.

137154364344 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1371543643442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137154364344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137154364349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8572737 + ... + 8588720.

Almost surely, 2137154364344 is an apocalyptic number.

It is an amenable number.

137154364344 is an abundant number, since it is smaller than the sum of its proper divisors (254126878056).

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

137154364344 is a wasteful number, since it uses less digits than its factorization.

137154364344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17161509 (or 17161499 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 137154364344 in words is "one hundred thirty-seven billion, one hundred fifty-four million, three hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 17161457 34322914 51484371 68645828 102968742 137291656 154453113 205937484 308906226 411874968 463359339 617812452 634973909 926718678 1235624904 1269947818 1853437356 1904921727 2539895636 3706874712 3809843454 5079791272 5714765181 7619686908 11429530362 15239373816 17144295543 22859060724 34288591086 45718121448 68577182172 137154364344