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137001533 = 1967107621
BaseRepresentation
bin10000010101001…
…11101000111101
3100112210101202212
420022213220331
5240033022113
621332230205
73252331244
oct1012475075
9315711685
10137001533
1170374309
1239a6b365
13224ca5c6
14142a395b
15c0630a8
hex82a7a3d

137001533 has 8 divisors (see below), whose sum is σ = 146365920. Its totient is φ = 127852560.

The previous prime is 137001517. The next prime is 137001577. The reversal of 137001533 is 335100731.

It is a happy number.

137001533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 137001533 - 24 = 137001517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137001499 and 137001508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137001583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52538 + ... + 55083.

It is an arithmetic number, because the mean of its divisors is an integer number (18295740).

Almost surely, 2137001533 is an apocalyptic number.

It is an amenable number.

137001533 is a deficient number, since it is larger than the sum of its proper divisors (9364387).

137001533 is a wasteful number, since it uses less digits than its factorization.

137001533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107707.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 137001533 is about 11704.7653970509. The cubic root of 137001533 is about 515.5155963688.

The spelling of 137001533 in words is "one hundred thirty-seven million, one thousand, five hundred thirty-three".

Divisors: 1 19 67 1273 107621 2044799 7210607 137001533