141152000 has 144 divisors (see below), whose sum is σ = 384549984. Its totient is φ = 51200000.

The previous prime is 141151999. The next prime is 141152027. The reversal of 141152000 is 251141.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

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, 351800 + ... + 352200.

It is an arithmetic number, because the mean of its divisors is an integer number (2670486).

Almost surely, 2^141152000 is an apocalyptic number.

141152000 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 141152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192274992).

141152000 is an abundant number, since it is smaller than the sum of its proper divisors (243397984).

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

141152000 is an equidigital number, since it uses as much as digits as its factorization.

141152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 141152000 is about 11880.7407176489. The cubic root of 141152000 is about 520.6697484484.

The spelling of 141152000 in words is "one hundred forty-one million, one hundred fifty-two thousand".