152096 has 36 divisors (see below), whose sum is σ = 351918. Its totient is φ = 64512.

The previous prime is 152093. The next prime is 152111. The reversal of 152096 is 690251.

152096 = T₁ + T₂ + ... + T₉₆.

152096 is a nontrivial binomial coefficient, being equal to C(98, 3).

It can be written as a sum of positive squares in only one way, i.e., 132496 + 19600 = 364^2 + 140^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152093) by changing a digit.

It is the 96-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1520 + ... + 1616.

2¹⁵²⁰⁹⁶ is an apocalyptic number.

152096 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 152096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175959).

152096 is an abundant number, since it is smaller than the sum of its proper divisors (199822).

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

152096 is an equidigital number, since it uses as much as digits as its factorization.

152096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 152096 is about 389.9948717612. The cubic root of 152096 is about 53.3792659853.

The spelling of 152096 in words is "one hundred fifty-two thousand, ninety-six".