147923200 has 108 divisors (see below), whose sum is σ = 379233540. Its totient is φ = 57057280.

The previous prime is 147923179. The next prime is 147923213. The reversal of 147923200 is 2329741.

It can be written as a sum of positive squares in 6 ways, for example, as 2768896 + 145154304 = 1664^2 + 12048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185202 + ... + 185998.

Almost surely, 2^147923200 is an apocalyptic number.

147923200 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 147923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189616770).

147923200 is an abundant number, since it is smaller than the sum of its proper divisors (231310340).

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

147923200 is an equidigital number, since it uses as much as digits as its factorization.

147923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 147923200 is about 12162.3681904471. The cubic root of 147923200 is about 528.8657361310.

It can be divided in two parts, 14792 and 3200, that multiplied together give a square (47334400 = 6880²).

The spelling of 147923200 in words is "one hundred forty-seven million, nine hundred twenty-three thousand, two hundred".