177138 has 24 divisors (see below), whose sum is σ = 413868. Its totient is φ = 54432.

The previous prime is 177131. The next prime is 177167. The reversal of 177138 is 831771.

It can be written as a sum of positive squares in 2 ways, for example, as 173889 + 3249 = 417^2 + 57^2 .

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 177138.

It is not an unprimeable number, because it can be changed into a prime (177131) by changing a digit.

177138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 612.

177138 is a Friedman number, since it can be written as 3^11-8-7/7, using all its digits and the basic arithmetic operations.

2¹⁷⁷¹³⁸ is an apocalyptic number.

177138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

177138 is an abundant number, since it is smaller than the sum of its proper divisors (236730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

177138 is a wasteful number, since it uses less digits than its factorization.

177138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 775 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 177138 is about 420.8776544318. The cubic root of 177138 is about 56.1613120934.

The spelling of 177138 in words is "one hundred seventy-seven thousand, one hundred thirty-eight".