141380064 has 144 divisors (see below), whose sum is σ = 483799680. Its totient is φ = 38257920.

The previous prime is 141380051. The next prime is 141380077. The reversal of 141380064 is 460083141.

It is an interprime number because it is at equal distance from previous prime (141380051) and next prime (141380077).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36459 + ... + 40149.

It is an arithmetic number, because the mean of its divisors is an integer number (3359720).

Almost surely, 2^141380064 is an apocalyptic number.

141380064 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 141380064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241899840).

141380064 is an abundant number, since it is smaller than the sum of its proper divisors (342419616).

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

141380064 is a wasteful number, since it uses less digits than its factorization.

141380064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3722 counting only the distinct ones).

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

The square root of 141380064 is about 11890.3348985636. The cubic root of 141380064 is about 520.9500187217.

The spelling of 141380064 in words is "one hundred forty-one million, three hundred eighty thousand, sixty-four".