137485049856 has 672 divisors, whose sum is σ = 474416030592. Its totient is φ = 35011952640.

The previous prime is 137485049843. The next prime is 137485049887. The reversal of 137485049856 is 658940584731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 137485049856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284906955 + ... + 1284907061.

It is an arithmetic number, because the mean of its divisors is an integer number (705976236).

Almost surely, 2^137485049856 is an apocalyptic number.

137485049856 is a gapful number since it is divisible by the number (16) 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 137485049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237208015296).

137485049856 is an abundant number, since it is smaller than the sum of its proper divisors (336930980736).

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

137485049856 is a wasteful number, since it uses less digits than its factorization.

137485049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 137485049856 in words is "one hundred thirty-seven billion, four hundred eighty-five million, forty-nine thousand, eight hundred fifty-six".