141538800 has 240 divisors, whose sum is σ = 501995648. Its totient is φ = 33868800.

The previous prime is 141538783. The next prime is 141538829. The reversal of 141538800 is 8835141.

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

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 47 ways as a sum of consecutive naturals, for example, 670695 + ... + 670905.

Almost surely, 2^141538800 is an apocalyptic number.

141538800 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 141538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250997824).

141538800 is an abundant number, since it is smaller than the sum of its proper divisors (360456848).

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

141538800 is a wasteful number, since it uses less digits than its factorization.

141538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 141538800 is about 11897.0080272310. The cubic root of 141538800 is about 521.1449132276.

The spelling of 141538800 in words is "one hundred forty-one million, five hundred thirty-eight thousand, eight hundred".