137835275760 has 240 divisors, whose sum is σ = 569719410624. Its totient is φ = 29081714688.

The previous prime is 137835275723. The next prime is 137835275777. The reversal of 137835275760 is 67572538731.

It is a happy number.

137835275760 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 3 + 527 + 57 + 60 = 666.

137835275760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 137835275697 and 137835275706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986337 + ... + 1117376.

Almost surely, 2^137835275760 is an apocalyptic number.

137835275760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137835275760 is an abundant number, since it is smaller than the sum of its proper divisors (431884134864).

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

137835275760 is a wasteful number, since it uses less digits than its factorization.

137835275760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103752 (or 2103743 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

It can be divided in two parts, 137835 and 275760, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 137835275760 in words is "one hundred thirty-seven billion, eight hundred thirty-five million, two hundred seventy-five thousand, seven hundred sixty".