141205064 has 144 divisors (see below), whose sum is σ = 366162300. Its totient is φ = 50561280.

The previous prime is 141205049. The next prime is 141205079. The reversal of 141205064 is 460502141.

It is an interprime number because it is at equal distance from previous prime (141205049) and next prime (141205079).

It can be written as a sum of positive squares in 2 ways, for example, as 140612164 + 592900 = 11858^2 + 770^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 616502 + ... + 616730.

Almost surely, 2^141205064 is an apocalyptic number.

141205064 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 141205064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183081150).

141205064 is an abundant number, since it is smaller than the sum of its proper divisors (224957236).

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

141205064 is a wasteful number, since it uses less digits than its factorization.

141205064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 141205064 is about 11882.9737018980. The cubic root of 141205064 is about 520.7349862961.

The spelling of 141205064 in words is "one hundred forty-one million, two hundred five thousand, sixty-four".