147365920 has 48 divisors (see below), whose sum is σ = 374938200. Its totient is φ = 54411264.

The previous prime is 147365891. The next prime is 147365927. The reversal of 147365920 is 29563741.

It can be written as a sum of positive squares in 4 ways, for example, as 115691536 + 31674384 = 10756^2 + 5628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 147365920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147365927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33345 + ... + 37504.

Almost surely, 2^147365920 is an apocalyptic number.

147365920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147365920 is an abundant number, since it is smaller than the sum of its proper divisors (227572280).

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

147365920 is a wasteful number, since it uses less digits than its factorization.

147365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70877 (or 70869 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 147365920 is about 12139.4365602362. The cubic root of 147365920 is about 528.2007577562.

The spelling of 147365920 in words is "one hundred forty-seven million, three hundred sixty-five thousand, nine hundred twenty".