128137855392 has 240 divisors, whose sum is σ = 393993718272. Its totient is φ = 40776721920.

The previous prime is 128137855327. The next prime is 128137855399. The reversal of 128137855392 is 293558731821.

128137855392 is a `hidden beast` number, since 1 + 2 + 8 + 13 + 78 + 553 + 9 + 2 = 666.

It is a super-2 number, since 2×128137855392² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (128137855399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36185142 + ... + 36188682.

Almost surely, 2^128137855392 is an apocalyptic number.

128137855392 is a gapful number since it is divisible by the number (12) 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 128137855392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196996859136).

128137855392 is an abundant number, since it is smaller than the sum of its proper divisors (265855862880).

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

128137855392 is a wasteful number, since it uses less digits than its factorization.

128137855392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4176 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 128137855392 in words is "one hundred twenty-eight billion, one hundred thirty-seven million, eight hundred fifty-five thousand, three hundred ninety-two".