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137132116 = 221167181257
BaseRepresentation
bin10000010110001…
…11100001010100
3100120001000220021
420023013201110
5240101211431
621335114524
73253414042
oct1013074124
9316030807
10137132116
1170453430
1239b12a44
1322544b84
14142d9392
15c08bb11
hex82c7854

137132116 has 48 divisors (see below), whose sum is σ = 268212672. Its totient is φ = 60825600.

The previous prime is 137132113. The next prime is 137132129. The reversal of 137132116 is 611231731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533460 + ... + 533716.

It is an arithmetic number, because the mean of its divisors is an integer number (5587764).

Almost surely, 2137132116 is an apocalyptic number.

It is an amenable number.

137132116 is a deficient number, since it is larger than the sum of its proper divisors (131080556).

137132116 is a wasteful number, since it uses less digits than its factorization.

137132116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 137132116 is about 11710.3422665608. The cubic root of 137132116 is about 515.6793322411.

Adding to 137132116 its reverse (611231731), we get a palindrome (748363847).

The spelling of 137132116 in words is "one hundred thirty-seven million, one hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 67 134 181 257 268 362 514 724 737 1028 1474 1991 2827 2948 3982 5654 7964 11308 12127 17219 24254 34438 46517 48508 68876 93034 133397 186068 189409 266794 378818 511687 533588 757636 1023374 2046748 3116639 6233278 12466556 34283029 68566058 137132116