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137803314 = 231119109891
BaseRepresentation
bin10000011011010…
…11011000110010
3100121022010121110
420031223120302
5240234201224
621401334150
73262210635
oct1015533062
9317263543
10137803314
1170871740
123a197356
132271b52c
1414431c1c
15c170929
hex836b632

137803314 has 32 divisors (see below), whose sum is σ = 316488960. Its totient is φ = 39560400.

The previous prime is 137803313. The next prime is 137803319. The reversal of 137803314 is 413308731.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137803313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53692 + ... + 56199.

It is an arithmetic number, because the mean of its divisors is an integer number (9890280).

Almost surely, 2137803314 is an apocalyptic number.

137803314 is an abundant number, since it is smaller than the sum of its proper divisors (178685646).

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

137803314 is a wasteful number, since it uses less digits than its factorization.

137803314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109926.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 137803314 is about 11738.9656273455. The cubic root of 137803314 is about 516.5193002306.

The spelling of 137803314 in words is "one hundred thirty-seven million, eight hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 109891 219782 329673 659346 1208801 2087929 2417602 3626403 4175858 6263787 7252806 12527574 22967219 45934438 68901657 137803314