147188109312 has 234 divisors, whose sum is σ = 441568602618. Its totient is φ = 49053745152.

The previous prime is 147188109239. The next prime is 147188109319. The reversal of 147188109312 is 213901881741.

It is a happy number.

147188109312 is a `hidden beast` number, since 1 + 471 + 8 + 81 + 0 + 93 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147161235456 + 26873856 = 383616^2 + 5184^2 .

It is a super-2 number, since 2×147188109312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147188109319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26871118 + ... + 26876594.

Almost surely, 2^147188109312 is an apocalyptic number.

147188109312 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 147188109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220784301309).

147188109312 is an abundant number, since it is smaller than the sum of its proper divisors (294380493306).

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

147188109312 is an frugal number, since it uses more digits than its factorization.

147188109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 147188109312 in words is "one hundred forty-seven billion, one hundred eighty-eight million, one hundred nine thousand, three hundred twelve".