128139432002640 has 120 divisors (see below), whose sum is σ = 430592769826440. Its totient is φ = 34150041234432.

The previous prime is 128139432002639. The next prime is 128139432002641. The reversal of 128139432002640 is 46200234931821.

128139432002640 is a `hidden beast` number, since 1 + 28 + 139 + 432 + 0 + 0 + 2 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128139432002639) and next prime (128139432002641).

It can be written as a sum of positive squares in 4 ways, for example, as 3368208631824 + 124771223370816 = 1835268^2 + 11170104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128139432002641) 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 23 ways as a sum of consecutive naturals, for example, 52115107 + ... + 54518466.

It is an arithmetic number, because the mean of its divisors is an integer number (3588273081887).

Almost surely, 2^{128139432002640} is an apocalyptic number.

128139432002640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128139432002640 is an abundant number, since it is smaller than the sum of its proper divisors (302453337823800).

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

128139432002640 is a wasteful number, since it uses less digits than its factorization.

128139432002640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106635261 (or 106635252 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 128139432002640 in words is "one hundred twenty-eight trillion, one hundred thirty-nine billion, four hundred thirty-two million, two thousand, six hundred forty".