147364920 has 96 divisors (see below), whose sum is σ = 496707120. Its totient is φ = 39294720.

The previous prime is 147364907. The next prime is 147364937. The reversal of 147364920 is 29463741.

147364920 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 649 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2140 + ... + 17300.

Almost surely, 2^147364920 is an apocalyptic number.

147364920 is a gapful number since it is divisible by the number (10) 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 147364920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248353560).

147364920 is an abundant number, since it is smaller than the sum of its proper divisors (349342200).

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

147364920 is a wasteful number, since it uses less digits than its factorization.

147364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15187 (or 15171 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 147364920 is about 12139.3953720933. The cubic root of 147364920 is about 528.1995629934.

The spelling of 147364920 in words is "one hundred forty-seven million, three hundred sixty-four thousand, nine hundred twenty".