141842400 has 144 divisors (see below), whose sum is σ = 527716224. Its totient is φ = 32417280.

The previous prime is 141842399. The next prime is 141842401. The reversal of 141842400 is 4248141.

It is an interprime number because it is at equal distance from previous prime (141842399) and next prime (141842401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141842401) 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 23 ways as a sum of consecutive naturals, for example, 12579 + ... + 21021.

It is an arithmetic number, because the mean of its divisors is an integer number (3664696).

Almost surely, 2^141842400 is an apocalyptic number.

141842400 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 141842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263858112).

141842400 is an abundant number, since it is smaller than the sum of its proper divisors (385873824).

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

141842400 is a wasteful number, since it uses less digits than its factorization.

141842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 141842400 is about 11909.7607028857. The cubic root of 141842400 is about 521.5172648455.

The spelling of 141842400 in words is "one hundred forty-one million, eight hundred forty-two thousand, four hundred".