137805961 has 8 divisors (see below), whose sum is σ = 149471784. Its totient is φ = 126535680.

The previous prime is 137805953. The next prime is 137805977. The reversal of 137805961 is 169508731.

It can be written as a sum of positive squares in 4 ways, for example, as 3686400 + 134119561 = 1920^2 + 11581^2 .

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 137805961 - 2³ = 137805953 is a prime.

It is a super-4 number, since 4×137805961⁴ (a number of 34 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137805761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98160 + ... + 99553.

It is an arithmetic number, because the mean of its divisors is an integer number (18683973).

Almost surely, 2^137805961 is an apocalyptic number.

It is an amenable number.

137805961 is a deficient number, since it is larger than the sum of its proper divisors (11665823).

137805961 is a wasteful number, since it uses less digits than its factorization.

137805961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197771.

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 137805961 is about 11739.0783709796. The cubic root of 137805961 is about 516.5226074027.

The spelling of 137805961 in words is "one hundred thirty-seven million, eight hundred five thousand, nine hundred sixty-one".