141002400 has 432 divisors, whose sum is σ = 587774880. Its totient is φ = 29030400.

The previous prime is 141002357. The next prime is 141002423. The reversal of 141002400 is 4200141.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 71 ways as a sum of consecutive naturals, for example, 1293546 + ... + 1293654.

It is an arithmetic number, because the mean of its divisors is an integer number (1360590).

Almost surely, 2^141002400 is an apocalyptic number.

141002400 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 141002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

141002400 is an abundant number, since it is smaller than the sum of its proper divisors (446772480).

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

141002400 is a wasteful number, since it uses less digits than its factorization.

141002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 141002400 is about 11874.4431448384. The cubic root of 141002400 is about 520.4857394165.

Adding to 141002400 its reverse (4200141), we get a palindrome (145202541).

The spelling of 141002400 in words is "one hundred forty-one million, two thousand, four hundred".