147745825920 has 1536 divisors, whose sum is σ = 666745896960. Its totient is φ = 29262643200.

The previous prime is 147745825883. The next prime is 147745825933. The reversal of 147745825920 is 29528547741.

147745825920 is a `hidden beast` number, since 1 + 4 + 7 + 7 + 4 + 582 + 59 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1163352897 + ... + 1163353023.

It is an arithmetic number, because the mean of its divisors is an integer number (434079360).

Almost surely, 2^147745825920 is an apocalyptic number.

147745825920 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 147745825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333372948480).

147745825920 is an abundant number, since it is smaller than the sum of its proper divisors (519000071040).

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

147745825920 is a wasteful number, since it uses less digits than its factorization.

147745825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 147745825920 in words is "one hundred forty-seven billion, seven hundred forty-five million, eight hundred twenty-five thousand, nine hundred twenty".