137769 has 8 divisors (see below), whose sum is σ = 193440. Its totient is φ = 86976.

The previous prime is 137743. The next prime is 137771. The reversal of 137769 is 967731.

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

It is not a de Polignac number, because 137769 - 2⁵ = 137737 is a prime.

It is a super-2 number, since 2×137769² = 37960594722, which contains 22 as substring.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137769.

It is not an unprimeable number, because it can be changed into a prime (137369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1152 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

137769 is a Friedman number, since it can be written as 7*3^9-7-6+1, using all its digits and the basic arithmetic operations.

2¹³⁷⁷⁶⁹ is an apocalyptic number.

137769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

137769 is a deficient number, since it is larger than the sum of its proper divisors (55671).

137769 is a wasteful number, since it uses less digits than its factorization.

137769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439.

The product of its digits is 7938, while the sum is 33.

The square root of 137769 is about 371.1724666513. The cubic root of 137769 is about 51.6476424352.

The spelling of 137769 in words is "one hundred thirty-seven thousand, seven hundred sixty-nine".