147460020480 has 252 divisors, whose sum is σ = 529580338140. Its totient is φ = 39322423296.

The previous prime is 147460020427. The next prime is 147460020481. The reversal of 147460020480 is 84020064741.

147460020480 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 600 + 2 + 0 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92231260416 + 55228760064 = 303696^2 + 235008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (147460020481) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 854106 + ... + 1012134.

Almost surely, 2^147460020480 is an apocalyptic number.

147460020480 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 147460020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264790169070).

147460020480 is an abundant number, since it is smaller than the sum of its proper divisors (382120317660).

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

147460020480 is an frugal number, since it uses more digits than its factorization.

147460020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158068 (or 158039 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 147460020480 in words is "one hundred forty-seven billion, four hundred sixty million, twenty thousand, four hundred eighty".