147388032 has 128 divisors (see below), whose sum is σ = 474667200. Its totient is φ = 44651520.

The previous prime is 147388027. The next prime is 147388039. The reversal of 147388032 is 230883741.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (147388039) 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 15 ways as a sum of consecutive naturals, for example, 36078 + ... + 39954.

Almost surely, 2^147388032 is an apocalyptic number.

147388032 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 147388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237333600).

147388032 is an abundant number, since it is smaller than the sum of its proper divisors (327279168).

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

147388032 is a wasteful number, since it uses less digits than its factorization.

147388032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 147388032 is about 12140.3472767462. The cubic root of 147388032 is about 528.2271749699.

The spelling of 147388032 in words is "one hundred forty-seven million, three hundred eighty-eight thousand, thirty-two".