147142800 has 180 divisors, whose sum is σ = 583672960. Its totient is φ = 33626880.

The previous prime is 147142763. The next prime is 147142819. The reversal of 147142800 is 8241741.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22281 + ... + 28119.

Almost surely, 2^147142800 is an apocalyptic number.

147142800 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 147142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291836480).

147142800 is an abundant number, since it is smaller than the sum of its proper divisors (436530160).

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

147142800 is a wasteful number, since it uses less digits than its factorization.

147142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 147142800 is about 12130.2431962430. The cubic root of 147142800 is about 527.9340482362.

The spelling of 147142800 in words is "one hundred forty-seven million, one hundred forty-two thousand, eight hundred".