137773637064 has 288 divisors, whose sum is σ = 476553093120. Its totient is φ = 35097670656.

The previous prime is 137773637039. The next prime is 137773637119. The reversal of 137773637064 is 460736377731.

It is a self number, because there is not a number n which added to its sum of digits gives 137773637064.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3070777 + ... + 3115319.

It is an arithmetic number, because the mean of its divisors is an integer number (1654698240).

Almost surely, 2^137773637064 is an apocalyptic number.

137773637064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137773637064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238276546560).

137773637064 is an abundant number, since it is smaller than the sum of its proper divisors (338779456056).

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

137773637064 is a wasteful number, since it uses less digits than its factorization.

137773637064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44617 (or 44591 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 54.

The spelling of 137773637064 in words is "one hundred thirty-seven billion, seven hundred seventy-three million, six hundred thirty-seven thousand, sixty-four".