141403680 has 288 divisors, whose sum is σ = 537788160. Its totient is φ = 33546240.

The previous prime is 141403663. The next prime is 141403687. The reversal of 141403680 is 86304141.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (141403687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1251304 + ... + 1251416.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^141403680 is an apocalyptic number.

141403680 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 141403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

141403680 is an abundant number, since it is smaller than the sum of its proper divisors (396384480).

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

141403680 is a wasteful number, since it uses less digits than its factorization.

141403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141403680 is about 11891.3279325734. The cubic root of 141403680 is about 520.9790234493.

The spelling of 141403680 in words is "one hundred forty-one million, four hundred three thousand, six hundred eighty".