10459152 has 160 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 3024000.

The previous prime is 10459151. The next prime is 10459157. The reversal of 10459152 is 25195401.

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

It is not an unprimeable number, because it can be changed into a prime (10459151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147277 + ... + 147347.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 2^10459152 is an apocalyptic number.

10459152 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 10459152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

10459152 is an abundant number, since it is smaller than the sum of its proper divisors (23824368).

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

10459152 is a wasteful number, since it uses less digits than its factorization.

10459152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 10459152 is about 3234.0612239103. The cubic root of 10459152 is about 218.6916282893.

The spelling of 10459152 in words is "ten million, four hundred fifty-nine thousand, one hundred fifty-two".