128514733956 has 144 divisors (see below), whose sum is σ = 381628863616. Its totient is φ = 35695199232.

The previous prime is 128514733951. The next prime is 128514734017. The reversal of 128514733956 is 659337415821.

It is a happy number.

128514733956 is a `hidden beast` number, since 1 + 2 + 8 + 514 + 7 + 33 + 95 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (128514733951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12087915 + ... + 12098541.

Almost surely, 2^128514733956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128514733956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190814431808).

128514733956 is an abundant number, since it is smaller than the sum of its proper divisors (253114129660).

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

128514733956 is a wasteful number, since it uses less digits than its factorization.

128514733956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978 (or 11973 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 128514733956 in words is "one hundred twenty-eight billion, five hundred fourteen million, seven hundred thirty-three thousand, nine hundred fifty-six".