137764 has 24 divisors (see below), whose sum is σ = 274176. Its totient is φ = 60000.

The previous prime is 137743. The next prime is 137771. The reversal of 137764 is 467731.

Its product of digits (3528) is a multiple of the sum of its prime factors (147).

It is an unprimeable number.

137764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314 + ... + 1414.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2¹³⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

137764 is a deficient number, since it is larger than the sum of its proper divisors (136412).

137764 is a wasteful number, since it uses less digits than its factorization.

137764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 137764 is about 371.1657311768. The cubic root of 137764 is about 51.6470176179.

It can be divided in two parts, 1377 and 64, that added together give a palindrome (1441).

The spelling of 137764 in words is "one hundred thirty-seven thousand, seven hundred sixty-four".