128098152 has 320 divisors, whose sum is σ = 470568000. Its totient is φ = 32006016.

The previous prime is 128098141. The next prime is 128098183. The reversal of 128098152 is 251890821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 128098152 = 42³ + 504³ = 378³ + 420³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6741999 + ... + 6742017.

It is an arithmetic number, because the mean of its divisors is an integer number (1470525).

Almost surely, 2^128098152 is an apocalyptic number.

128098152 is a gapful number since it is divisible by the number (12) 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 128098152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235284000).

128098152 is an abundant number, since it is smaller than the sum of its proper divisors (342469848).

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

128098152 is a wasteful number, since it uses less digits than its factorization.

128098152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 128098152 is about 11318.0454142931. The cubic root of 128098152 is about 504.0972034740.

The spelling of 128098152 in words is "one hundred twenty-eight million, ninety-eight thousand, one hundred fifty-two".