137749248096 has 48 divisors (see below), whose sum is σ = 361853957808. Its totient is φ = 45883123200.

The previous prime is 137749248079. The next prime is 137749248107. The reversal of 137749248096 is 690842947731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386935 + ... + 652086.

It is an arithmetic number, because the mean of its divisors is an integer number (7538624121).

Almost surely, 2^137749248096 is an apocalyptic number.

137749248096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137749248096 is an abundant number, since it is smaller than the sum of its proper divisors (224104709712).

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

137749248096 is a wasteful number, since it uses less digits than its factorization.

137749248096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040415 (or 1040407 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 137749248096 in words is "one hundred thirty-seven billion, seven hundred forty-nine million, two hundred forty-eight thousand, ninety-six".