137212751104 has 288 divisors, whose sum is σ = 334745389440. Its totient is φ = 55273881600.

The previous prime is 137212751069. The next prime is 137212751107. The reversal of 137212751104 is 401157212731.

It is a self number, because there is not a number n which added to its sum of digits gives 137212751104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137212751107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 325920814 + ... + 325921234.

It is an arithmetic number, because the mean of its divisors is an integer number (1162310380).

Almost surely, 2^137212751104 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 137212751104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167372694720).

137212751104 is an abundant number, since it is smaller than the sum of its proper divisors (197532638336).

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

137212751104 is a wasteful number, since it uses less digits than its factorization.

137212751104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

Adding to 137212751104 its reverse (401157212731), we get a palindrome (538369963835).

The spelling of 137212751104 in words is "one hundred thirty-seven billion, two hundred twelve million, seven hundred fifty-one thousand, one hundred four".