147379600 has 45 divisors (see below), whose sum is σ = 354663777. Its totient is φ = 58854720.

The previous prime is 147379571. The next prime is 147379601. The reversal of 147379600 is 6973741.

The square root of 147379600 is 12140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53056656 + 94322944 = 7284^2 + 9712^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 147379600.

It is not an unprimeable number, because it can be changed into a prime (147379601) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 242497 + ... + 243103.

Almost surely, 2^147379600 is an apocalyptic number.

147379600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147379600 is the 12140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147379600

147379600 is an abundant number, since it is smaller than the sum of its proper divisors (207284177).

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

147379600 is an frugal number, since it uses more digits than its factorization.

147379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The cubic root of 147379600 is about 528.2171015684.

The spelling of 147379600 in words is "one hundred forty-seven million, three hundred seventy-nine thousand, six hundred".