147290038272 has 252 divisors, whose sum is σ = 460764306054. Its totient is φ = 45316177920.

The previous prime is 147290038253. The next prime is 147290038297. The reversal of 147290038272 is 272830092741.

It can be written as a sum of positive squares in 3 ways, for example, as 44849074176 + 102440964096 = 211776^2 + 320064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12454122 + ... + 12465942.

Almost surely, 2^147290038272 is an apocalyptic number.

147290038272 is a gapful number since it is divisible by the number (12) 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 147290038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230382153027).

147290038272 is an abundant number, since it is smaller than the sum of its proper divisors (313474267782).

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

147290038272 is a wasteful number, since it uses less digits than its factorization.

147290038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11879 (or 11839 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 147290038272 in words is "one hundred forty-seven billion, two hundred ninety million, thirty-eight thousand, two hundred seventy-two".