147933240000 has 2240 divisors, whose sum is σ = 682533519360. Its totient is φ = 27371520000.

The previous prime is 147933239957. The next prime is 147933240011. The reversal of 147933240000 is 42339741.

It is a tau number, because it is divible by the number of its divisors (2240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4772039985 + ... + 4772040015.

It is an arithmetic number, because the mean of its divisors is an integer number (304702464).

Almost surely, 2^147933240000 is an apocalyptic number.

147933240000 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 147933240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341266759680).

147933240000 is an abundant number, since it is smaller than the sum of its proper divisors (534600279360).

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

147933240000 is a wasteful number, since it uses less digits than its factorization.

147933240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 147933240000 its reverse (42339741), we get a palindrome (147975579741).

The spelling of 147933240000 in words is "one hundred forty-seven billion, nine hundred thirty-three million, two hundred forty thousand".