147015200 has 72 divisors (see below), whose sum is σ = 361976832. Its totient is φ = 58302720.

The previous prime is 147015199. The next prime is 147015223. The reversal of 147015200 is 2510741.

147015200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147015200² = 43226938062080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100877 + ... + 102323.

It is an arithmetic number, because the mean of its divisors is an integer number (5027456).

Almost surely, 2^147015200 is an apocalyptic number.

147015200 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 147015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180988416).

147015200 is an abundant number, since it is smaller than the sum of its proper divisors (214961632).

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

147015200 is a wasteful number, since it uses less digits than its factorization.

147015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 147015200 is about 12124.9824742141. The cubic root of 147015200 is about 527.7813986414.

Adding to 147015200 its reverse (2510741), we get a palindrome (149525941).

The spelling of 147015200 in words is "one hundred forty-seven million, fifteen thousand, two hundred".