141928000 has 112 divisors (see below), whose sum is σ = 356853744. Its totient is φ = 55910400.

The previous prime is 141927979. The next prime is 141928051. The reversal of 141928000 is 829141.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 105349696 + 36578304 = 10264^2 + 6048^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903922 + ... + 904078.

Almost surely, 2^141928000 is an apocalyptic number.

141928000 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 141928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178426872).

141928000 is an abundant number, since it is smaller than the sum of its proper divisors (214925744).

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

141928000 is a wasteful number, since it uses less digits than its factorization.

141928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 141928000 is about 11913.3538518756. The cubic root of 141928000 is about 521.6221533241.

The spelling of 141928000 in words is "one hundred forty-one million, nine hundred twenty-eight thousand".