137427842448 has 240 divisors, whose sum is σ = 437504331264. Its totient is φ = 39969054720.

The previous prime is 137427842443. The next prime is 137427842459. The reversal of 137427842448 is 844248724731.

137427842448 is a `hidden beast` number, since 1 + 374 + 27 + 8 + 4 + 244 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137427842394 and 137427842403.

It is not an unprimeable number, because it can be changed into a prime (137427842443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2467840 + ... + 2522912.

Almost surely, 2^137427842448 is an apocalyptic number.

137427842448 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 137427842448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218752165632).

137427842448 is an abundant number, since it is smaller than the sum of its proper divisors (300076488816).

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

137427842448 is a wasteful number, since it uses less digits than its factorization.

137427842448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55174 (or 55165 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The spelling of 137427842448 in words is "one hundred thirty-seven billion, four hundred twenty-seven million, eight hundred forty-two thousand, four hundred forty-eight".