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137532005 = 5132115877
BaseRepresentation
bin10000011001010…
…01001001100101
3100120210100102222
420030221021211
5240202011010
621351442125
73260000642
oct1014511145
9316710388
10137532005
11706a6916
123a086345
1322654bb0
14143a0dc9
15c11a355
hex8329265

137532005 has 8 divisors (see below), whose sum is σ = 177733752. Its totient is φ = 101562048.

The previous prime is 137532001. The next prime is 137532047. The reversal of 137532005 is 500235731.

It can be written as a sum of positive squares in 4 ways, for example, as 3389281 + 134142724 = 1841^2 + 11582^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137532005 - 22 = 137532001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137532001) 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 7 ways as a sum of consecutive naturals, for example, 1057874 + ... + 1058003.

It is an arithmetic number, because the mean of its divisors is an integer number (22216719).

Almost surely, 2137532005 is an apocalyptic number.

It is an amenable number.

137532005 is a deficient number, since it is larger than the sum of its proper divisors (40201747).

137532005 is a wasteful number, since it uses less digits than its factorization.

137532005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115895.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 137532005 is about 11727.4040179402. The cubic root of 137532005 is about 516.1801008337.

Adding to 137532005 its reverse (500235731), we get a palindrome (637767736).

The spelling of 137532005 in words is "one hundred thirty-seven million, five hundred thirty-two thousand, five".

Divisors: 1 5 13 65 2115877 10579385 27506401 137532005