152890848 has 96 divisors (see below), whose sum is σ = 486501120. Its totient is φ = 46327680.

The previous prime is 152890847. The next prime is 152890873. The reversal of 152890848 is 848098251.

It is a happy number.

152890848 is digitally balanced in base 2 and base 3, because in such bases 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 (96).

It is a super-2 number, since 2×152890848² = 46751222804318208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152890847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461 + ... + 17547.

It is an arithmetic number, because the mean of its divisors is an integer number (5067720).

Almost surely, 2^152890848 is an apocalyptic number.

152890848 is a gapful number since it is divisible by the number (18) 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 152890848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243250560).

152890848 is an abundant number, since it is smaller than the sum of its proper divisors (333610272).

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

152890848 is a wasteful number, since it uses less digits than its factorization.

152890848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16117 (or 16103 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 152890848 is about 12364.9038815512. The cubic root of 152890848 is about 534.7209048845.

The spelling of 152890848 in words is "one hundred fifty-two million, eight hundred ninety thousand, eight hundred forty-eight".