147031200 has 180 divisors, whose sum is σ = 536430510. Its totient is φ = 39191040.

The previous prime is 147031163. The next prime is 147031201. The reversal of 147031200 is 2130741.

It can be written as a sum of positive squares in 3 ways, for example, as 67963536 + 79067664 = 8244^2 + 8892^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (147031201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63666 + ... + 65934.

Almost surely, 2^147031200 is an apocalyptic number.

147031200 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 147031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268215255).

147031200 is an abundant number, since it is smaller than the sum of its proper divisors (389399310).

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

147031200 is a wasteful number, since it uses less digits than its factorization.

147031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 147031200 is about 12125.6422510315. The cubic root of 147031200 is about 527.8005444986.

Adding to 147031200 its reverse (2130741), we get a palindrome (149161941).

The spelling of 147031200 in words is "one hundred forty-seven million, thirty-one thousand, two hundred".