146327472 has 100 divisors (see below), whose sum is σ = 442017840. Its totient is φ = 46645632.

The previous prime is 146327453. The next prime is 146327477. The reversal of 146327472 is 274723641.

146327472 is a `hidden beast` number, since 14 + 632 + 7 + 4 + 7 + 2 = 666.

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 (146327477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27354 + ... + 32262.

Almost surely, 2^146327472 is an apocalyptic number.

146327472 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 146327472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221008920).

146327472 is an abundant number, since it is smaller than the sum of its proper divisors (295690368).

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

146327472 is a wasteful number, since it uses less digits than its factorization.

146327472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4937 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 146327472 is about 12096.5892713607. The cubic root of 146327472 is about 526.9571357873.

The spelling of 146327472 in words is "one hundred forty-six million, three hundred twenty-seven thousand, four hundred seventy-two".