141057000 has 192 divisors, whose sum is σ = 545126400. Its totient is φ = 32227200.

The previous prime is 141056989. The next prime is 141057017. The reversal of 141057000 is 750141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61881 + ... + 64119.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 2^141057000 is an apocalyptic number.

141057000 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 141057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272563200).

141057000 is an abundant number, since it is smaller than the sum of its proper divisors (404069400).

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

141057000 is a wasteful number, since it uses less digits than its factorization.

141057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 141057000 is about 11876.7419774953. The cubic root of 141057000 is about 520.5529128689.

The spelling of 141057000 in words is "one hundred forty-one million, fifty-seven thousand".