147146161181320 has 256 divisors, whose sum is σ = 391234216665600. Its totient is φ = 48758879232000.

The previous prime is 147146161181317. The next prime is 147146161181381. The reversal of 147146161181320 is 23181161641741.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11037887055 + ... + 11037900385.

It is an arithmetic number, because the mean of its divisors is an integer number (1528258658850).

Almost surely, 2^{147146161181320} is an apocalyptic number.

147146161181320 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 147146161181320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195617108332800).

147146161181320 is an abundant number, since it is smaller than the sum of its proper divisors (244088055484280).

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

147146161181320 is a wasteful number, since it uses less digits than its factorization.

147146161181320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22320 (or 22316 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 147146161181320 in words is "one hundred forty-seven trillion, one hundred forty-six billion, one hundred sixty-one million, one hundred eighty-one thousand, three hundred twenty".