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137531333 is a prime number
BaseRepresentation
bin10000011001010…
…00111111000101
3100120210022112002
420030220333011
5240202000313
621351435045
73256665662
oct1014507705
9316708462
10137531333
11706a6365
123a085a85
13226547b4
14143a0a69
15c11a058
hex8328fc5

137531333 has 2 divisors, whose sum is σ = 137531334. Its totient is φ = 137531332.

The previous prime is 137531327. The next prime is 137531341. The reversal of 137531333 is 333135731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68939809 + 68591524 = 8303^2 + 8282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137531333 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137531296 and 137531305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137531363) 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 as a sum of consecutive naturals, namely, 68765666 + 68765667.

It is an arithmetic number, because the mean of its divisors is an integer number (68765667).

Almost surely, 2137531333 is an apocalyptic number.

It is an amenable number.

137531333 is a deficient number, since it is larger than the sum of its proper divisors (1).

137531333 is an equidigital number, since it uses as much as digits as its factorization.

137531333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8505, while the sum is 29.

The square root of 137531333 is about 11727.3753670632. The cubic root of 137531333 is about 516.1792601237.

The spelling of 137531333 in words is "one hundred thirty-seven million, five hundred thirty-one thousand, three hundred thirty-three".