141004864 has 224 divisors, whose sum is σ = 393265152. Its totient is φ = 48384000.

The previous prime is 141004847. The next prime is 141004901. The reversal of 141004864 is 468400141.

141004864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×141004864³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1985949 + ... + 1986019.

It is an arithmetic number, because the mean of its divisors is an integer number (1755648).

Almost surely, 2^141004864 is an apocalyptic number.

141004864 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 141004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196632576).

141004864 is an abundant number, since it is smaller than the sum of its proper divisors (252260288).

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

141004864 is a wasteful number, since it uses less digits than its factorization.

141004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 141004864 is about 11874.5468966188. The cubic root of 141004864 is about 520.4887712074.

The spelling of 141004864 in words is "one hundred forty-one million, four thousand, eight hundred sixty-four".