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137332533 = 3136157727
BaseRepresentation
bin10000010111110…
…00011100110101
3100120102012211010
420023320130311
5240124120113
621343302433
73255210252
oct1013703465
9316365733
10137332533
117057aa68
1239baaa19
13225b5170
141434c429
15c0cb1c3
hex82f8735

137332533 has 16 divisors (see below), whose sum is σ = 200431616. Its totient is φ = 83125440.

The previous prime is 137332523. The next prime is 137332541. The reversal of 137332533 is 335233731.

137332533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137332533 - 26 = 137332469 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137332533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137332523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26485 + ... + 31242.

It is an arithmetic number, because the mean of its divisors is an integer number (12526976).

Almost surely, 2137332533 is an apocalyptic number.

137332533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137332533 is a deficient number, since it is larger than the sum of its proper divisors (63099083).

137332533 is a wasteful number, since it uses less digits than its factorization.

137332533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57804.

The product of its digits is 17010, while the sum is 30.

The square root of 137332533 is about 11718.8964070854. The cubic root of 137332533 is about 515.9304297468.

The spelling of 137332533 in words is "one hundred thirty-seven million, three hundred thirty-two thousand, five hundred thirty-three".

Divisors: 1 3 13 39 61 183 793 2379 57727 173181 750451 2251353 3521347 10564041 45777511 137332533