137439477761 has 4 divisors (see below), whose sum is σ = 137671248132. Its totient is φ = 137207707392.

The previous prime is 137439477751. The next prime is 137439477781. The reversal of 137439477761 is 167774934731.

137439477761 = 262144² + 262145².

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 167774934731 = 661 ⋅253819871.

It can be written as a sum of positive squares in 2 ways, for example, as 68719476736 + 68720001025 = 262144^2 + 262145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137439477761 is a prime.

It is a super-2 number, since 2×137439477761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137439477761.

It is not an unprimeable number, because it can be changed into a prime (137439477751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115884296 + ... + 115885481.

It is an arithmetic number, because the mean of its divisors is an integer number (34417812033).

It is a Proth number, since it is equal to 262145 ⋅ 2¹⁹ + 1 and 262145 < 2¹⁹.

It is a Poulet number, since it divides 2^137439477760-1.

Almost surely, 2^137439477761 is an apocalyptic number.

137439477761 is the 262145-th centered square number.

It is an amenable number.

137439477761 is a deficient number, since it is larger than the sum of its proper divisors (231770371).

137439477761 is an equidigital number, since it uses as much as digits as its factorization.

137439477761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231770370.

The product of its digits is 18670176, while the sum is 59.

The spelling of 137439477761 in words is "one hundred thirty-seven billion, four hundred thirty-nine million, four hundred seventy-seven thousand, seven hundred sixty-one".