137009068056 has 160 divisors (see below), whose sum is σ = 445764638880. Its totient is φ = 38503641600.

The previous prime is 137009068051. The next prime is 137009068057. The reversal of 137009068056 is 650860900731.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137009068051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29116 + ... + 524276.

It is an arithmetic number, because the mean of its divisors is an integer number (2786028993).

Almost surely, 2^137009068056 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 137009068056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222882319440).

137009068056 is an abundant number, since it is smaller than the sum of its proper divisors (308755570824).

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

137009068056 is a wasteful number, since it uses less digits than its factorization.

137009068056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495247 (or 495234 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

Adding to 137009068056 its reverse (650860900731), we get a palindrome (787869968787).

The spelling of 137009068056 in words is "one hundred thirty-seven billion, nine million, sixty-eight thousand, fifty-six".