137276990784 has 168 divisors, whose sum is σ = 412973215200. Its totient is φ = 45207258624.

The previous prime is 137276990771. The next prime is 137276990789. The reversal of 137276990784 is 487099672731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137276990789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1237642 + ... + 1343990.

It is an arithmetic number, because the mean of its divisors is an integer number (2458173900).

Almost surely, 2^137276990784 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 137276990784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206486607600).

137276990784 is an abundant number, since it is smaller than the sum of its proper divisors (275696224416).

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

137276990784 is an equidigital number, since it uses as much as digits as its factorization.

137276990784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106459 (or 106437 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 137276990784 in words is "one hundred thirty-seven billion, two hundred seventy-six million, nine hundred ninety thousand, seven hundred eighty-four".