1000147200 has 216 divisors, whose sum is σ = 3555480768. Its totient is φ = 246128640.

The previous prime is 1000147199. The next prime is 1000147229. The reversal of 1000147200 is 27410001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000147200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247597 + ... + 251603.

Almost surely, 2^1000147200 is an apocalyptic number.

1000147200 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 1000147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777740384).

1000147200 is an abundant number, since it is smaller than the sum of its proper divisors (2555333568).

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

1000147200 is a wasteful number, since it uses less digits than its factorization.

1000147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1000147200 is about 31625.1039523983. The cubic root of 1000147200 is about 1000.0490642593.

Adding to 1000147200 its reverse (27410001), we get a palindrome (1027557201).

The spelling of 1000147200 in words is "one billion, one hundred forty-seven thousand, two hundred".