147245200 has 60 divisors (see below), whose sum is σ = 363354100. Its totient is φ = 57300480.

The previous prime is 147245141. The next prime is 147245213. The reversal of 147245200 is 2542741.

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 147088384 = 396^2 + 12128^2 .

It is a super-2 number, since 2×147245200² = 43362297846080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 9826 + ... + 19774.

Almost surely, 2^147245200 is an apocalyptic number.

147245200 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 147245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181677050).

147245200 is an abundant number, since it is smaller than the sum of its proper divisors (216108900).

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

147245200 is a wasteful number, since it uses less digits than its factorization.

147245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 147245200 is about 12134.4633173454. The cubic root of 147245200 is about 528.0564869166.

Adding to 147245200 its reverse (2542741), we get a palindrome (149787941).

The spelling of 147245200 in words is "one hundred forty-seven million, two hundred forty-five thousand, two hundred".