147141518232960 has 1024 divisors, whose sum is σ = 560262268108800. Its totient is φ = 36425023488000.

The previous prime is 147141518232959. The next prime is 147141518233001. The reversal of 147141518232960 is 69232815141741.

147141518232960 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 4 + 1 + 518 + 2 + 32 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 147141518232897 and 147141518232906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1407179080 + ... + 1407283640.

It is an arithmetic number, because the mean of its divisors is an integer number (547131121200).

It is a 1-persistent number, because it is pandigital, but 2⋅147141518232960 = 294283036465920 is not.

Almost surely, 2^{147141518232960} is an apocalyptic number.

147141518232960 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 147141518232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280131134054400).

147141518232960 is an abundant number, since it is smaller than the sum of its proper divisors (413120749875840).

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

147141518232960 is a wasteful number, since it uses less digits than its factorization.

147141518232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104728 (or 104710 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 147141518232960 in words is "one hundred forty-seven trillion, one hundred forty-one billion, five hundred eighteen million, two hundred thirty-two thousand, nine hundred sixty".