147139200 has 384 divisors, whose sum is σ = 584337600. Its totient is φ = 35942400.

The previous prime is 147139177. The next prime is 147139217. The reversal of 147139200 is 2931741.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123135 + ... + 1123265.

Almost surely, 2^147139200 is an apocalyptic number.

147139200 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 147139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292168800).

147139200 is an abundant number, since it is smaller than the sum of its proper divisors (437198400).

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

147139200 is a wasteful number, since it uses less digits than its factorization.

147139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 147139200 is about 12130.0948058950. The cubic root of 147139200 is about 527.9297427179.

The spelling of 147139200 in words is "one hundred forty-seven million, one hundred thirty-nine thousand, two hundred".