137164000061 has 16 divisors (see below), whose sum is σ = 150544720896. Its totient is φ = 123936750000.

The previous prime is 137164000049. The next prime is 137164000087. The reversal of 137164000061 is 160000461731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137164000061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137163999988 and 137164000033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137164000021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703726 + ... + 1782416.

It is an arithmetic number, because the mean of its divisors is an integer number (9409045056).

Almost surely, 2^137164000061 is an apocalyptic number.

137164000061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137164000061 is the 165629-th centered decagonal number.

It is an amenable number.

137164000061 is a deficient number, since it is larger than the sum of its proper divisors (13380720835).

137164000061 is a wasteful number, since it uses less digits than its factorization.

137164000061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79664.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 137164000061 its reverse (160000461731), we get a palindrome (297164461792).

The spelling of 137164000061 in words is "one hundred thirty-seven billion, one hundred sixty-four million, sixty-one", and thus it is an aban number.