147209328 has 180 divisors, whose sum is σ = 495438528. Its totient is φ = 40642560.

The previous prime is 147209303. The next prime is 147209357. The reversal of 147209328 is 823902741.

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

It is a junction number, because it is equal to n+sod(n) for n = 147209292 and 147209301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218400 + ... + 219072.

Almost surely, 2^147209328 is an apocalyptic number.

147209328 is a gapful number since it is divisible by the number (18) 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 147209328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247719264).

147209328 is an abundant number, since it is smaller than the sum of its proper divisors (348229200).

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

147209328 is a wasteful number, since it uses less digits than its factorization.

147209328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 147209328 is about 12132.9851232086. The cubic root of 147209328 is about 528.0136015780.

The spelling of 147209328 in words is "one hundred forty-seven million, two hundred nine thousand, three hundred twenty-eight".