141504160 has 72 divisors (see below), whose sum is σ = 388905300. Its totient is φ = 48513024.

The previous prime is 141504133. The next prime is 141504163. The reversal of 141504160 is 61405141.

It can be written as a sum of positive squares in 2 ways, for example, as 138956944 + 2547216 = 11788^2 + 1596^2 .

It is not an unprimeable number, because it can be changed into a prime (141504163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185 + ... + 16864.

Almost surely, 2^141504160 is an apocalyptic number.

141504160 is a gapful number since it is divisible by the number (10) 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 141504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194452650).

141504160 is an abundant number, since it is smaller than the sum of its proper divisors (247401140).

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

141504160 is a wasteful number, since it uses less digits than its factorization.

141504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18078 (or 18063 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 141504160 is about 11895.5521099275. The cubic root of 141504160 is about 521.1023950095.

The spelling of 141504160 in words is "one hundred forty-one million, five hundred four thousand, one hundred sixty".