137443984128 has 432 divisors, whose sum is σ = 440981259264. Its totient is φ = 40823562240.

The previous prime is 137443984079. The next prime is 137443984159. The reversal of 137443984128 is 821489344731.

137443984128 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 439 + 84 + 128 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469091950 + ... + 469092242.

It is an arithmetic number, because the mean of its divisors is an integer number (1020789952).

Almost surely, 2^137443984128 is an apocalyptic number.

137443984128 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 137443984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220490629632).

137443984128 is an abundant number, since it is smaller than the sum of its proper divisors (303537275136).

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

137443984128 is a wasteful number, since it uses less digits than its factorization.

137443984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 615 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 137443984128 in words is "one hundred thirty-seven billion, four hundred forty-three million, nine hundred eighty-four thousand, one hundred twenty-eight".