137519960064 has 104 divisors (see below), whose sum is σ = 378504406272. Its totient is φ = 44361154560.

The previous prime is 137519959999. The next prime is 137519960107. The reversal of 137519960064 is 460069915731.

It is a junction number, because it is equal to n+sod(n) for n = 137519959989 and 137519960016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200422 + ... + 561434.

Almost surely, 2^137519960064 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 137519960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189252203136).

137519960064 is an abundant number, since it is smaller than the sum of its proper divisors (240984446208).

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

137519960064 is an equidigital number, since it uses as much as digits as its factorization.

137519960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361071 (or 361049 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 137519960064 in words is "one hundred thirty-seven billion, five hundred nineteen million, nine hundred sixty thousand, sixty-four".