137955308166 has 96 divisors (see below), whose sum is σ = 334743081120. Its totient is φ = 41865175296.

The previous prime is 137955308147. The next prime is 137955308177. The reversal of 137955308166 is 661803559731.

137955308166 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 553 + 0 + 81 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3722520 + ... + 3759396.

It is an arithmetic number, because the mean of its divisors is an integer number (3486907095).

Almost surely, 2^137955308166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137955308166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167371540560).

137955308166 is an abundant number, since it is smaller than the sum of its proper divisors (196787772954).

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

137955308166 is a wasteful number, since it uses less digits than its factorization.

137955308166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37047 (or 36968 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 137955308166 in words is "one hundred thirty-seven billion, nine hundred fifty-five million, three hundred eight thousand, one hundred sixty-six".