4513152 has 128 divisors (see below), whose sum is σ = 14492160. Its totient is φ = 1216512.

The previous prime is 4513123. The next prime is 4513181. The reversal of 4513152 is 2513154.

It is an interprime number because it is at equal distance from previous prime (4513123) and next prime (4513181).

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 (21).

Its product of digits (600) is a multiple of the sum of its prime factors (120).

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, 61788 + ... + 61860.

It is an arithmetic number, because the mean of its divisors is an integer number (113220).

Almost surely, 2^4513152 is an apocalyptic number.

4513152 is a gapful number since it is divisible by the number (42) 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 4513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246080).

4513152 is an abundant number, since it is smaller than the sum of its proper divisors (9979008).

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

4513152 is a wasteful number, since it uses less digits than its factorization.

4513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 4513152 is about 2124.4180379577. The cubic root of 4513152 is about 165.2570465493.

The spelling of 4513152 in words is "four million, five hundred thirteen thousand, one hundred fifty-two".