137788155648 has 1728 divisors, whose sum is σ = 548053632000. Its totient is φ = 33721712640.

The previous prime is 137788155647. The next prime is 137788155653. The reversal of 137788155648 is 846551887731.

137788155648 is a `hidden beast` number, since 1 + 3 + 7 + 78 + 8 + 1 + 556 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

Its product of digits (45158400) is a multiple of the sum of its prime divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137788155641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4751315698 + ... + 4751315726.

Almost surely, 2^137788155648 is an apocalyptic number.

137788155648 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 137788155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274026816000).

137788155648 is an abundant number, since it is smaller than the sum of its proper divisors (410265476352).

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

137788155648 is a wasteful number, since it uses less digits than its factorization.

137788155648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 137788155648 in words is "one hundred thirty-seven billion, seven hundred eighty-eight million, one hundred fifty-five thousand, six hundred forty-eight".