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137164000060 = 22547898811861
BaseRepresentation
bin111111110111110011…
…1001000101100111100
3111010001012021011012101
41333233213020230330
54221402441000220
6143002352314444
712624023522623
oct1775747105474
9433035234171
10137164000060
115319755843a
12226bbb42a24
13cc1c16bb19
1468d2b166ba
15387bc7530a
hex1fef9c8b3c

137164000060 has 96 divisors (see below), whose sum is σ = 297976008960. Its totient is φ = 53006131200.

The previous prime is 137164000049. The next prime is 137164000087. The reversal of 137164000060 is 60000461731.

It is a junction number, because it is equal to n+sod(n) for n = 137163999992 and 137164000028.

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, 73703530 + ... + 73705390.

It is an arithmetic number, because the mean of its divisors is an integer number (3103916760).

Almost surely, 2137164000060 is an apocalyptic number.

137164000060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137164000060 is an abundant number, since it is smaller than the sum of its proper divisors (160812008900).

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

137164000060 is a wasteful number, since it uses less digits than its factorization.

137164000060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 137164000060 its reverse (60000461731), we get a palindrome (197164461791).

The spelling of 137164000060 in words is "one hundred thirty-seven billion, one hundred sixty-four million, sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 47 89 94 178 188 235 356 445 470 881 890 940 1762 1780 1861 3524 3722 4183 4405 7444 8366 8810 9305 16732 17620 18610 20915 37220 41407 41830 78409 82814 83660 87467 156818 165628 165629 174934 207035 313636 331258 349868 392045 414070 437335 662516 784090 828140 828145 874670 1568180 1639541 1656290 1749340 3279082 3312580 3685223 6558164 7370446 7784563 8197705 14740892 15569126 16395410 18426115 31138252 32790820 36852230 38922815 73704460 77058427 77845630 145919149 154116854 155691260 291838298 308233708 385292135 583676596 729595745 770584270 1459191490 1541168540 2918382980 6858200003 13716400006 27432800012 34291000015 68582000030 137164000060