147036045312 has 640 divisors, whose sum is σ = 507342528000. Its totient is φ = 41674604544.

The previous prime is 147036045293. The next prime is 147036045323. The reversal of 147036045312 is 213540630741.

147036045312 is a `hidden beast` number, since 1 + 47 + 0 + 3 + 604 + 5 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3128426473 + ... + 3128426519.

It is an arithmetic number, because the mean of its divisors is an integer number (792722700).

Almost surely, 2^147036045312 is an apocalyptic number.

147036045312 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 147036045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253671264000).

147036045312 is an abundant number, since it is smaller than the sum of its proper divisors (360306482688).

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

147036045312 is an frugal number, since it uses more digits than its factorization.

147036045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 147036045312 in words is "one hundred forty-seven billion, thirty-six million, forty-five thousand, three hundred twelve".