137780 has 18 divisors (see below), whose sum is σ = 292866. Its totient is φ = 54448.

The previous prime is 137777. The next prime is 137791. The reversal of 137780 is 87731.

137780 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 110224 + 27556 = 332^2 + 166^2 .

It is a plaindrome in base 7 and base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1619 + ... + 1701.

137780 is a Friedman number, since it can be written as 7*3^(8+7^0)-1, using all its digits and the basic arithmetic operations.

2¹³⁷⁷⁸⁰ is an apocalyptic number.

137780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137780 is an abundant number, since it is smaller than the sum of its proper divisors (155086).

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

137780 is an equidigital number, since it uses as much as digits as its factorization.

137780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 137780 is about 371.1872842650. The cubic root of 137780 is about 51.6490169799.

The spelling of 137780 in words is "one hundred thirty-seven thousand, seven hundred eighty".