141888000 has 160 divisors (see below), whose sum is σ = 472380480. Its totient is φ = 37785600.

The previous prime is 141887969. The next prime is 141888017. The reversal of 141888000 is 888141.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191631 + ... + 192369.

It is an arithmetic number, because the mean of its divisors is an integer number (2952378).

Almost surely, 2^141888000 is an apocalyptic number.

141888000 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 141888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236190240).

141888000 is an abundant number, since it is smaller than the sum of its proper divisors (330492480).

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

141888000 is an frugal number, since it uses more digits than its factorization.

141888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 749 counting only the distinct ones).

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

The square root of 141888000 is about 11911.6749451956. The cubic root of 141888000 is about 521.5731452670.

The spelling of 141888000 in words is "one hundred forty-one million, eight hundred eighty-eight thousand".