137134505 has 8 divisors (see below), whose sum is σ = 165513672. Its totient is φ = 109072768.

The previous prime is 137134471. The next prime is 137134511. The reversal of 137134505 is 505431731.

It can be written as a sum of positive squares in 4 ways, for example, as 46199209 + 90935296 = 6797^2 + 9536^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 137134505 - 2¹⁰ = 137133481 is a prime.

It is a super-3 number, since 3×137134505³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78404 + ... + 80133.

It is an arithmetic number, because the mean of its divisors is an integer number (20689209).

Almost surely, 2^137134505 is an apocalyptic number.

It is an amenable number.

137134505 is a deficient number, since it is larger than the sum of its proper divisors (28379167).

137134505 is a wasteful number, since it uses less digits than its factorization.

137134505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158715.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 137134505 is about 11710.4442699669. Note that the first 3 decimals coincide. The cubic root of 137134505 is about 515.6823268004.

The spelling of 137134505 in words is "one hundred thirty-seven million, one hundred thirty-four thousand, five hundred five".