152896128 has 128 divisors (see below), whose sum is σ = 506442240. Its totient is φ = 39705600.

The previous prime is 152896067. The next prime is 152896141. The reversal of 152896128 is 821698251.

It is a happy number.

152896128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 152896128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26983 + ... + 32153.

It is an arithmetic number, because the mean of its divisors is an integer number (3956580).

Almost surely, 2^152896128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253221120).

152896128 is an abundant number, since it is smaller than the sum of its proper divisors (353546112).

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

152896128 is a wasteful number, since it uses less digits than its factorization.

152896128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5194 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 152896128 is about 12365.1173872309. The cubic root of 152896128 is about 534.7270602429.

The spelling of 152896128 in words is "one hundred fifty-two million, eight hundred ninety-six thousand, one hundred twenty-eight".