147464772 has 96 divisors (see below), whose sum is σ = 428854272. Its totient is φ = 38399616.

The previous prime is 147464761. The next prime is 147464773. The reversal of 147464772 is 277464741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (147464773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89823 + ... + 91449.

It is an arithmetic number, because the mean of its divisors is an integer number (4467232).

Almost surely, 2^147464772 is an apocalyptic number.

147464772 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 147464772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214427136).

147464772 is an abundant number, since it is smaller than the sum of its proper divisors (281389500).

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

147464772 is a wasteful number, since it uses less digits than its factorization.

147464772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its digits is 263424, while the sum is 42.

The square root of 147464772 is about 12143.5074010765. The cubic root of 147464772 is about 528.3188357822.

The spelling of 147464772 in words is "one hundred forty-seven million, four hundred sixty-four thousand, seven hundred seventy-two".