30132144 has 120 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 8509824.

The previous prime is 30132103. The next prime is 30132149. The reversal of 30132144 is 44123103.

30132144 is a `hidden beast` number, since 301 + 321 + 44 = 666.

It is a super-2 number, since 2×30132144² = 1815892204073472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30132149) 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, 168247 + ... + 168425.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^30132144 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 30132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

30132144 is an abundant number, since it is smaller than the sum of its proper divisors (67361616).

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

30132144 is a wasteful number, since it uses less digits than its factorization.

30132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30132144 is about 5489.2753620127. The cubic root of 30132144 is about 311.1788069619.

Adding to 30132144 its reverse (44123103), we get a palindrome (74255247).

It can be divided in two parts, 30132 and 144, that added together give a square (30276 = 174²).

The spelling of 30132144 in words is "thirty million, one hundred thirty-two thousand, one hundred forty-four".