137511721116 has 192 divisors, whose sum is σ = 451118223360. Its totient is φ = 35184093120.

The previous prime is 137511721103. The next prime is 137511721121. The reversal of 137511721116 is 611127115731.

137511721116 is a `hidden beast` number, since 1 + 3 + 7 + 511 + 7 + 21 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433771 + ... + 680573.

It is an arithmetic number, because the mean of its divisors is an integer number (2349574080).

Almost surely, 2^137511721116 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 137511721116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225559111680).

137511721116 is an abundant number, since it is smaller than the sum of its proper divisors (313606502244).

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

137511721116 is a wasteful number, since it uses less digits than its factorization.

137511721116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246901 (or 246893 counting only the distinct ones).

The product of its digits is 8820, while the sum is 36.

Adding to 137511721116 its reverse (611127115731), we get a palindrome (748638836847).

The spelling of 137511721116 in words is "one hundred thirty-seven billion, five hundred eleven million, seven hundred twenty-one thousand, one hundred sixteen".