137355 has 8 divisors (see below), whose sum is σ = 219792. Its totient is φ = 73248.

The previous prime is 137353. The next prime is 137359. The reversal of 137355 is 553731.

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

It is not a de Polignac number, because 137355 - 2¹ = 137353 is a prime.

137355 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (137353) 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, 4564 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (27474).

2¹³⁷³⁵⁵ is an apocalyptic number.

137355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137355 is a deficient number, since it is larger than the sum of its proper divisors (82437).

137355 is an equidigital number, since it uses as much as digits as its factorization.

137355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165.

The product of its digits is 1575, while the sum is 24.

The square root of 137355 is about 370.6143548218. The cubic root of 137355 is about 51.5958562864.

The spelling of 137355 in words is "one hundred thirty-seven thousand, three hundred fifty-five".