141224832 has 192 divisors, whose sum is σ = 472268160. Its totient is φ = 39674880.

The previous prime is 141224813. The next prime is 141224873. The reversal of 141224832 is 238422141.

141224832 is a `hidden beast` number, since 1 + 412 + 248 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 141224796 and 141224805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669207 + ... + 669417.

It is an arithmetic number, because the mean of its divisors is an integer number (2459730).

Almost surely, 2^141224832 is an apocalyptic number.

141224832 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 141224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236134080).

141224832 is an abundant number, since it is smaller than the sum of its proper divisors (331043328).

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

141224832 is a wasteful number, since it uses less digits than its factorization.

141224832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 141224832 is about 11883.8054511171. The cubic root of 141224832 is about 520.7592852567.

Adding to 141224832 its reverse (238422141), we get a palindrome (379646973).

It can be divided in two parts, 1412 and 24832, that added together give a square (26244 = 162²).

The spelling of 141224832 in words is "one hundred forty-one million, two hundred twenty-four thousand, eight hundred thirty-two".