147724920 has 288 divisors, whose sum is σ = 576257760. Its totient is φ = 32140800.

The previous prime is 147724897. The next prime is 147724921. The reversal of 147724920 is 29427741.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147724921) 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 71 ways as a sum of consecutive naturals, for example, 2421690 + ... + 2421750.

It is an arithmetic number, because the mean of its divisors is an integer number (2000895).

Almost surely, 2^147724920 is an apocalyptic number.

147724920 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 147724920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288128880).

147724920 is an abundant number, since it is smaller than the sum of its proper divisors (428532840).

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

147724920 is a wasteful number, since it uses less digits than its factorization.

147724920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 147724920 is about 12154.2140840122. The cubic root of 147724920 is about 528.6293287994.

The spelling of 147724920 in words is "one hundred forty-seven million, seven hundred twenty-four thousand, nine hundred twenty".