141064000 has 224 divisors, whose sum is σ = 437448960. Its totient is φ = 43776000.

The previous prime is 141063953. The next prime is 141064003. The reversal of 141064000 is 460141.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141064003) 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 31 ways as a sum of consecutive naturals, for example, 615886 + ... + 616114.

Almost surely, 2^141064000 is an apocalyptic number.

141064000 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 141064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218724480).

141064000 is an abundant number, since it is smaller than the sum of its proper divisors (296384960).

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

141064000 is a wasteful number, since it uses less digits than its factorization.

141064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 141064000 is about 11877.0366674520. The cubic root of 141064000 is about 520.5615235963.

The spelling of 141064000 in words is "one hundred forty-one million, sixty-four thousand".