141364080 has 240 divisors, whose sum is σ = 558151776. Its totient is φ = 31610880.

The previous prime is 141364057. The next prime is 141364103. The reversal of 141364080 is 80463141.

141364080 is a `hidden beast` number, since 1 + 4 + 13 + 640 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (141364057) and next prime (141364103).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×141364080² = 39967606228492800, 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 47 ways as a sum of consecutive naturals, for example, 102274 + ... + 103646.

Almost surely, 2^141364080 is an apocalyptic number.

141364080 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 141364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279075888).

141364080 is an abundant number, since it is smaller than the sum of its proper divisors (416787696).

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

141364080 is a wasteful number, since it uses less digits than its factorization.

141364080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1407 counting only the distinct ones).

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

The square root of 141364080 is about 11889.6627370166. The cubic root of 141364080 is about 520.9303856403.

The spelling of 141364080 in words is "one hundred forty-one million, three hundred sixty-four thousand, eighty".