137019626928 has 120 divisors (see below), whose sum is σ = 405257186880. Its totient is φ = 43096752000.

The previous prime is 137019626923. The next prime is 137019626929. The reversal of 137019626928 is 829626910731.

137019626928 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 1 + 9 + 626 + 9 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (137019626923) 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, 586975 + ... + 786497.

It is an arithmetic number, because the mean of its divisors is an integer number (3377143224).

Almost surely, 2^137019626928 is an apocalyptic number.

137019626928 is a gapful number since it is divisible by the number (18) 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 137019626928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202628593440).

137019626928 is an abundant number, since it is smaller than the sum of its proper divisors (268237559952).

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

137019626928 is a wasteful number, since it uses less digits than its factorization.

137019626928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199807 (or 199798 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

It can be divided in two parts, 1370196 and 26928, that added together give a square (1397124 = 1182²).

The spelling of 137019626928 in words is "one hundred thirty-seven billion, nineteen million, six hundred twenty-six thousand, nine hundred twenty-eight".