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137848062 = 231123711279
BaseRepresentation
bin10000011011101…
…10010011111110
3100121101101222210
420031312103332
5240242114222
621402321250
73262455252
oct1015662376
9317341883
10137848062
11708a2320
123a1b9226
1322735a01
1414444262
15c17dd0c
hex83764fe

137848062 has 64 divisors (see below), whose sum is σ = 318504960. Its totient is φ = 39362400.

The previous prime is 137848043. The next prime is 137848091. The reversal of 137848062 is 260848731.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 137848062.

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, 107139 + ... + 108417.

It is an arithmetic number, because the mean of its divisors is an integer number (4976640).

Almost surely, 2137848062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137848062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159252480).

137848062 is an abundant number, since it is smaller than the sum of its proper divisors (180656898).

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

137848062 is a wasteful number, since it uses less digits than its factorization.

137848062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 137848062 is about 11740.8714327345. The cubic root of 137848062 is about 516.5752028636.

The spelling of 137848062 in words is "one hundred thirty-seven million, eight hundred forty-eight thousand, sixty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 71 138 142 213 253 426 506 759 781 1279 1518 1562 1633 2343 2558 3266 3837 4686 4899 7674 9798 14069 17963 28138 29417 35926 42207 53889 58834 84414 88251 90809 107778 176502 181618 272427 323587 544854 647174 970761 998899 1941522 1997798 2088607 2996697 4177214 5993394 6265821 12531642 22974677 45949354 68924031 137848062