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137162937 = 3103443893
BaseRepresentation
bin10000010110011…
…11000010111001
3100120002121011210
420023033002321
5240103203222
621335513333
73253602642
oct1013170271
9316077153
10137162937
11704745aa
1239b28849
1322555c02
14143066c9
15c095d0c
hex82cf0b9

137162937 has 8 divisors (see below), whose sum is σ = 184659904. Its totient is φ = 90553968.

The previous prime is 137162929. The next prime is 137162951. The reversal of 137162937 is 739261731.

It is a happy number.

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

It is not a de Polignac number, because 137162937 - 23 = 137162929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137162895 and 137162904.

It is not an unprimeable number, because it can be changed into a prime (137166937) 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 7 ways as a sum of consecutive naturals, for example, 221638 + ... + 222255.

It is an arithmetic number, because the mean of its divisors is an integer number (23082488).

Almost surely, 2137162937 is an apocalyptic number.

It is an amenable number.

137162937 is a deficient number, since it is larger than the sum of its proper divisors (47496967).

137162937 is a wasteful number, since it uses less digits than its factorization.

137162937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443999.

The product of its digits is 47628, while the sum is 39.

The square root of 137162937 is about 11711.6581661181. The cubic root of 137162937 is about 515.7179630218.

It can be divided in two parts, 13716 and 2937, that added together give a triangular number (16653 = T182).

The spelling of 137162937 in words is "one hundred thirty-seven million, one hundred sixty-two thousand, nine hundred thirty-seven".

Divisors: 1 3 103 309 443893 1331679 45720979 137162937