147196800 has 288 divisors, whose sum is σ = 554931000. Its totient is φ = 37048320.

The previous prime is 147196793. The next prime is 147196801. The reversal of 147196800 is 8691741.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147196801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547066 + ... + 547334.

Almost surely, 2^147196800 is an apocalyptic number.

147196800 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 147196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277465500).

147196800 is an abundant number, since it is smaller than the sum of its proper divisors (407734200).

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

147196800 is a wasteful number, since it uses less digits than its factorization.

147196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 147196800 is about 12132.4688336711. The cubic root of 147196800 is about 527.9986225859.

The spelling of 147196800 in words is "one hundred forty-seven million, one hundred ninety-six thousand, eight hundred".