137439477760 has 320 divisors, whose sum is σ = 368175654000. Its totient is φ = 48922361856.

The previous prime is 137439477751. The next prime is 137439477781. The reversal of 137439477760 is 67774934731.

It can be written as a sum of positive squares in 8 ways, for example, as 77292896256 + 60146581504 = 278016^2 + 245248^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×137439477760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137439477695 and 137439477704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1260912586 + ... + 1260912694.

Almost surely, 2^137439477760 is an apocalyptic number.

137439477760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137439477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184087827000).

137439477760 is an abundant number, since it is smaller than the sum of its proper divisors (230736176240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137439477760 is an frugal number, since it uses more digits than its factorization.

137439477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18670176, while the sum is 58.

The spelling of 137439477760 in words is "one hundred thirty-seven billion, four hundred thirty-nine million, four hundred seventy-seven thousand, seven hundred sixty".