147820032 has 240 divisors, whose sum is σ = 477372720. Its totient is φ = 45121536.

The previous prime is 147820027. The next prime is 147820033. The reversal of 147820032 is 230028741.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 147819978 and 147820005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147820033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3995118 + ... + 3995154.

It is an arithmetic number, because the mean of its divisors is an integer number (1989053).

Almost surely, 2^147820032 is an apocalyptic number.

147820032 is a gapful number since it is divisible by the number (12) 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 147820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238686360).

147820032 is an abundant number, since it is smaller than the sum of its proper divisors (329552688).

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

147820032 is an equidigital number, since it uses as much as digits as its factorization.

147820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 147820032 is about 12158.1261714131. The cubic root of 147820032 is about 528.7427563013.

Adding to 147820032 its reverse (230028741), we get a palindrome (377848773).

The spelling of 147820032 in words is "one hundred forty-seven million, eight hundred twenty thousand, thirty-two".