147132288 has 160 divisors (see below), whose sum is σ = 457641360. Its totient is φ = 46835712.

The previous prime is 147132287. The next prime is 147132289. The reversal of 147132288 is 882231741.

It is an interprime number because it is at equal distance from previous prime (147132287) and next prime (147132289).

It is a super-2 number, since 2×147132288² = 43295820344229888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147132287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238156 + ... + 238772.

Almost surely, 2^147132288 is an apocalyptic number.

147132288 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 147132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228820680).

147132288 is an abundant number, since it is smaller than the sum of its proper divisors (310509072).

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

147132288 is an equidigital number, since it uses as much as digits as its factorization.

147132288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 645 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 147132288 is about 12129.8098913380. The cubic root of 147132288 is about 527.9214759258.

The spelling of 147132288 in words is "one hundred forty-seven million, one hundred thirty-two thousand, two hundred eighty-eight".