141451968 has 224 divisors, whose sum is σ = 467002368. Its totient is φ = 36864000.

The previous prime is 141451943. The next prime is 141451991. The reversal of 141451968 is 869154141.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 936693 + ... + 936843.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^141451968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233501184).

141451968 is an abundant number, since it is smaller than the sum of its proper divisors (325550400).

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

141451968 is a wasteful number, since it uses less digits than its factorization.

141451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 141451968 is about 11893.3581464614. The cubic root of 141451968 is about 521.0383198127.

The spelling of 141451968 in words is "one hundred forty-one million, four hundred fifty-one thousand, nine hundred sixty-eight".