147424680 has 288 divisors, whose sum is σ = 553152600. Its totient is φ = 33841152.

The previous prime is 147424637. The next prime is 147424691. The reversal of 147424680 is 86424741.

It can be written as a sum of positive squares in 12 ways, for example, as 36796356 + 110628324 = 6066^2 + 10518^2 .

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 71 ways as a sum of consecutive naturals, for example, 1352466 + ... + 1352574.

Almost surely, 2^147424680 is an apocalyptic number.

147424680 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 147424680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276576300).

147424680 is an abundant number, since it is smaller than the sum of its proper divisors (405727920).

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

147424680 is a wasteful number, since it uses less digits than its factorization.

147424680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 147424680 is about 12141.8565302016. The cubic root of 147424680 is about 528.2709525299.

The spelling of 147424680 in words is "one hundred forty-seven million, four hundred twenty-four thousand, six hundred eighty".