128957136 has 320 divisors, whose sum is σ = 455970816. Its totient is φ = 30412800.

The previous prime is 128957119. The next prime is 128957167. The reversal of 128957136 is 631759821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3145276 + ... + 3145316.

Almost surely, 2^128957136 is an apocalyptic number.

128957136 is a gapful number since it is divisible by the number (16) 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 128957136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

128957136 is an abundant number, since it is smaller than the sum of its proper divisors (327013680).

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

128957136 is a wasteful number, since it uses less digits than its factorization.

128957136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 128957136 is about 11355.9295524409. The cubic root of 128957136 is about 505.2214641491.

The spelling of 128957136 in words is "one hundred twenty-eight million, nine hundred fifty-seven thousand, one hundred thirty-six".