147459312 has 480 divisors, whose sum is σ = 591073280. Its totient is φ = 34214400.

The previous prime is 147459307. The next prime is 147459313. The reversal of 147459312 is 213954741.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (30240) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147459313) 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 95 ways as a sum of consecutive naturals, for example, 4756737 + ... + 4756767.

Almost surely, 2^147459312 is an apocalyptic number.

147459312 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 147459312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295536640).

147459312 is an abundant number, since it is smaller than the sum of its proper divisors (443613968).

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

147459312 is a wasteful number, since it uses less digits than its factorization.

147459312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 147459312 is about 12143.2825875049. The cubic root of 147459312 is about 528.3123152272.

The spelling of 147459312 in words is "one hundred forty-seven million, four hundred fifty-nine thousand, three hundred twelve".