53132148 has 72 divisors (see below), whose sum is σ = 139551048. Its totient is φ = 17031168.

The previous prime is 53132143. The next prime is 53132179. The reversal of 53132148 is 84123135.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3175524 + 49956624 = 1782^2 + 7068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53132143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150340 + ... + 150692.

It is an arithmetic number, because the mean of its divisors is an integer number (1938209).

Almost surely, 2^53132148 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 53132148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69775524).

53132148 is an abundant number, since it is smaller than the sum of its proper divisors (86418900).

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

53132148 is a wasteful number, since it uses less digits than its factorization.

53132148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 508 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 53132148 is about 7289.1802008182. The cubic root of 53132148 is about 375.9405085445.

The spelling of 53132148 in words is "fifty-three million, one hundred thirty-two thousand, one hundred forty-eight".