147631920 has 80 divisors (see below), whose sum is σ = 472445952. Its totient is φ = 38096640.

The previous prime is 147631909. The next prime is 147631921. The reversal of 147631920 is 29136741.

147631920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (147631921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2482 + ... + 17361.

Almost surely, 2^147631920 is an apocalyptic number.

147631920 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 147631920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236222976).

147631920 is an abundant number, since it is smaller than the sum of its proper divisors (324814032).

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

147631920 is a wasteful number, since it uses less digits than its factorization.

147631920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19890 (or 19884 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 147631920 is about 12150.3876481370. The cubic root of 147631920 is about 528.5183729139.

The spelling of 147631920 in words is "one hundred forty-seven million, six hundred thirty-one thousand, nine hundred twenty".