137638961 has 4 divisors (see below), whose sum is σ = 138150900. Its totient is φ = 137127024.

The previous prime is 137638951. The next prime is 137638981. The reversal of 137638961 is 169836731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169836731 = 29 ⋅5856439.

It can be written as a sum of positive squares in 2 ways, for example, as 69889600 + 67749361 = 8360^2 + 8231^2 .

It is a cyclic number.

It is not a de Polignac number, because 137638961 - 2¹⁰ = 137637937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137638951) 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, 255566 + ... + 256103.

It is an arithmetic number, because the mean of its divisors is an integer number (34537725).

Almost surely, 2^137638961 is an apocalyptic number.

It is an amenable number.

137638961 is a deficient number, since it is larger than the sum of its proper divisors (511939).

137638961 is an equidigital number, since it uses as much as digits as its factorization.

137638961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511938.

The product of its digits is 163296, while the sum is 44.

The square root of 137638961 is about 11731.9632201946. The cubic root of 137638961 is about 516.3138739471.

The spelling of 137638961 in words is "one hundred thirty-seven million, six hundred thirty-eight thousand, nine hundred sixty-one".