147855397200 has 480 divisors, whose sum is σ = 562185184512. Its totient is φ = 32514048000.

The previous prime is 147855397199. The next prime is 147855397223. The reversal of 147855397200 is 2793558741.

It is a super-4 number, since 4×147855397200⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25138260 + ... + 25144140.

Almost surely, 2^147855397200 is an apocalyptic number.

147855397200 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 147855397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281092592256).

147855397200 is an abundant number, since it is smaller than the sum of its proper divisors (414329787312).

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

147855397200 is a wasteful number, since it uses less digits than its factorization.

147855397200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 147855397200 in words is "one hundred forty-seven billion, eight hundred fifty-five million, three hundred ninety-seven thousand, two hundred".