137735821816065 has 48 divisors (see below), whose sum is σ = 260469355738176. Its totient is φ = 66774994742400.

The previous prime is 137735821816063. The next prime is 137735821816091. The reversal of 137735821816065 is 560618128537731.

137735821816065 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 3 + 5 + 8 + 2 + 18 + 1 + 606 + 5 = 666.

It is not a de Polignac number, because 137735821816065 - 2¹ = 137735821816063 is a prime.

It is a super-2 number, since 2×137735821816065² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137735821815993 and 137735821816011.

It is not an unprimeable number, because it can be changed into a prime (137735821816063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7011891 + ... + 18017720.

It is an arithmetic number, because the mean of its divisors is an integer number (5426444911212).

Almost surely, 2^{137735821816065} is an apocalyptic number.

137735821816065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137735821816065 is a deficient number, since it is larger than the sum of its proper divisors (122733533922111).

137735821816065 is a wasteful number, since it uses less digits than its factorization.

137735821816065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25040750 (or 25040747 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 137735821816065 in words is "one hundred thirty-seven trillion, seven hundred thirty-five billion, eight hundred twenty-one million, eight hundred sixteen thousand, sixty-five".