141249920 has 128 divisors (see below), whose sum is σ = 395841600. Its totient is φ = 47185920.

The previous prime is 141249907. The next prime is 141249931. The reversal of 141249920 is 29942141.

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 (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183296 + ... + 184064.

Almost surely, 2^141249920 is an apocalyptic number.

141249920 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 141249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197920800).

141249920 is an abundant number, since it is smaller than the sum of its proper divisors (254591680).

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

141249920 is an equidigital number, since it uses as much as digits as its factorization.

141249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 141249920 is about 11884.8609583789. The cubic root of 141249920 is about 520.7901203330.

The spelling of 141249920 in words is "one hundred forty-one million, two hundred forty-nine thousand, nine hundred twenty".