137734 has 8 divisors (see below), whose sum is σ = 218808. Its totient is φ = 64800.

The previous prime is 137723. The next prime is 137737. The reversal of 137734 is 437731.

137734 = 7² + 8² + ... + 74².

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 137699 and 137708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137737) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1992 + ... + 2059.

It is an arithmetic number, because the mean of its divisors is an integer number (27351).

2¹³⁷⁷³⁴ is an apocalyptic number.

137734 is a deficient number, since it is larger than the sum of its proper divisors (81074).

137734 is a wasteful number, since it uses less digits than its factorization.

137734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070.

The product of its digits is 1764, while the sum is 25.

The square root of 137734 is about 371.1253157627. The cubic root of 137734 is about 51.6432683970.

The spelling of 137734 in words is "one hundred thirty-seven thousand, seven hundred thirty-four".