128744954100 has 432 divisors, whose sum is σ = 492460480512. Its totient is φ = 27492030720.

The previous prime is 128744954087. The next prime is 128744954113. The reversal of 128744954100 is 1459447821.

128744954100 is a `hidden beast` number, since 128 + 74 + 49 + 5 + 410 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128744954087) and next prime (128744954113).

It is a super-2 number, since 2×128744954100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6220369 + ... + 6241031.

It is an arithmetic number, because the mean of its divisors is an integer number (1139954816).

Almost surely, 2^128744954100 is an apocalyptic number.

128744954100 is a gapful number since it is divisible by the number (10) 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 128744954100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246230240256).

128744954100 is an abundant number, since it is smaller than the sum of its proper divisors (363715526412).

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

128744954100 is a wasteful number, since it uses less digits than its factorization.

128744954100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20756 (or 20746 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 128744954100 in words is "one hundred twenty-eight billion, seven hundred forty-four million, nine hundred fifty-four thousand, one hundred".