141420384 has 192 divisors, whose sum is σ = 479808000. Its totient is φ = 39688704.

The previous prime is 141420371. The next prime is 141420403. The reversal of 141420384 is 483024141.

141420384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405042 + ... + 405390.

It is an arithmetic number, because the mean of its divisors is an integer number (2499000).

Almost surely, 2^141420384 is an apocalyptic number.

141420384 is a gapful number since it is divisible by the number (14) 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 141420384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904000).

141420384 is an abundant number, since it is smaller than the sum of its proper divisors (338387616).

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

141420384 is a wasteful number, since it uses less digits than its factorization.

141420384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

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

The square root of 141420384 is about 11892.0302724135. The cubic root of 141420384 is about 520.9995370383. Note that the first 3 decimals are identical.

The spelling of 141420384 in words is "one hundred forty-one million, four hundred twenty thousand, three hundred eighty-four".