137123909707488 has 216 divisors, whose sum is σ = 408822379853832. Its totient is φ = 40212286963200.

The previous prime is 137123909707471. The next prime is 137123909707513. The reversal of 137123909707488 is 884707909321731.

It is a super-2 number, since 2×137123909707488² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5021070 + ... + 17304882.

It is an arithmetic number, because the mean of its divisors is an integer number (1892696203027).

Almost surely, 2^{137123909707488} 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 137123909707488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204411189926916).

137123909707488 is an abundant number, since it is smaller than the sum of its proper divisors (271698470146344).

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

137123909707488 is a wasteful number, since it uses less digits than its factorization.

137123909707488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12283910 (or 12283860 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 69.

The spelling of 137123909707488 in words is "one hundred thirty-seven trillion, one hundred twenty-three billion, nine hundred nine million, seven hundred seven thousand, four hundred eighty-eight".