137527947648 has 768 divisors, whose sum is σ = 508980326400. Its totient is φ = 34670592000.

The previous prime is 137527947643. The next prime is 137527947649. The reversal of 137527947648 is 846749725731.

137527947648 is a `hidden beast` number, since 1 + 3 + 7 + 52 + 79 + 476 + 48 = 666.

137527947648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (71124480) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137527947643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328228783 + ... + 328229201.

It is an arithmetic number, because the mean of its divisors is an integer number (662734800).

Almost surely, 2^137527947648 is an apocalyptic number.

137527947648 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 137527947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254490163200).

137527947648 is an abundant number, since it is smaller than the sum of its proper divisors (371452378752).

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

137527947648 is a wasteful number, since it uses less digits than its factorization.

137527947648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 576 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 137527947648 in words is "one hundred thirty-seven billion, five hundred twenty-seven million, nine hundred forty-seven thousand, six hundred forty-eight".