137317084164 has 240 divisors, whose sum is σ = 407592662400. Its totient is φ = 39962916864.

The previous prime is 137317084153. The next prime is 137317084273. The reversal of 137317084164 is 461480713731.

137317084164 is a `hidden beast` number, since 137 + 31 + 70 + 8 + 416 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74345089 + ... + 74346935.

It is an arithmetic number, because the mean of its divisors is an integer number (1698302760).

Almost surely, 2^137317084164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137317084164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203796331200).

137317084164 is an abundant number, since it is smaller than the sum of its proper divisors (270275578236).

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

137317084164 is a wasteful number, since it uses less digits than its factorization.

137317084164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 137317084164 its reverse (461480713731), we get a palindrome (598797797895).

The spelling of 137317084164 in words is "one hundred thirty-seven billion, three hundred seventeen million, eighty-four thousand, one hundred sixty-four".