141880800 has 144 divisors (see below), whose sum is σ = 476969472. Its totient is φ = 36595200.

The previous prime is 141880799. The next prime is 141880811. The reversal of 141880800 is 8088141.

141880800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141880800² = 40260322817280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 73447 + ... + 75353.

It is an arithmetic number, because the mean of its divisors is an integer number (3312288).

Almost surely, 2^141880800 is an apocalyptic number.

141880800 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 141880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238484736).

141880800 is an abundant number, since it is smaller than the sum of its proper divisors (335088672).

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

141880800 is a wasteful number, since it uses less digits than its factorization.

141880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 141880800 is about 11911.3727168618. The cubic root of 141880800 is about 521.5643228386.

The spelling of 141880800 in words is "one hundred forty-one million, eight hundred eighty thousand, eight hundred".