128157120 has 448 divisors, whose sum is σ = 559856640. Its totient is φ = 26873856.

The previous prime is 128157091. The next prime is 128157137. The reversal of 128157120 is 21751821.

128157120 is a `hidden beast` number, since 12 + 81 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786159 + ... + 786321.

It is an arithmetic number, because the mean of its divisors is an integer number (1249680).

Almost surely, 2^128157120 is an apocalyptic number.

128157120 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 128157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279928320).

128157120 is an abundant number, since it is smaller than the sum of its proper divisors (431699520).

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

128157120 is a wasteful number, since it uses less digits than its factorization.

128157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 128157120 is about 11320.6501580077. The cubic root of 128157120 is about 504.1745427209.

The spelling of 128157120 in words is "one hundred twenty-eight million, one hundred fifty-seven thousand, one hundred twenty".