147538080 has 144 divisors (see below), whose sum is σ = 520982280. Its totient is φ = 37976064.

The previous prime is 147538009. The next prime is 147538093. The reversal of 147538080 is 80835741.

147538080 is a `hidden beast` number, since 1 + 47 + 538 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136328976 + 11209104 = 11676^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39994 + ... + 43526.

Almost surely, 2^147538080 is an apocalyptic number.

147538080 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 147538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260491140).

147538080 is an abundant number, since it is smaller than the sum of its proper divisors (373444200).

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

147538080 is a wasteful number, since it uses less digits than its factorization.

147538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 147538080 is about 12146.5254291093. The cubic root of 147538080 is about 528.4063676056.

The spelling of 147538080 in words is "one hundred forty-seven million, five hundred thirty-eight thousand, eighty".