141814080 has 168 divisors, whose sum is σ = 500094504. Its totient is φ = 36864000.

The previous prime is 141814073. The next prime is 141814091. The reversal of 141814080 is 80418141.

It can be written as a sum of positive squares in 4 ways, for example, as 15116544 + 126697536 = 3888^2 + 11256^2 .

It is a super-2 number, since 2×141814080² = 40222466572492800, which contains 22 as substring.

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, 117480 + ... + 118680.

It is an arithmetic number, because the mean of its divisors is an integer number (2976753).

Almost surely, 2^141814080 is an apocalyptic number.

141814080 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 141814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250047252).

141814080 is an abundant number, since it is smaller than the sum of its proper divisors (358280424).

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

141814080 is a wasteful number, since it uses less digits than its factorization.

141814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 141814080 is about 11908.5717027694. The cubic root of 141814080 is about 521.4825541337.

The spelling of 141814080 in words is "one hundred forty-one million, eight hundred fourteen thousand, eighty".