147640320 has 260 divisors, whose sum is σ = 535199940. Its totient is φ = 38928384.

The previous prime is 147640309. The next prime is 147640327. The reversal of 147640320 is 23046741.

147640320 is a `hidden beast` number, since 14 + 7 + 640 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 107495424 = 6336^2 + 10368^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147640327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658836 + ... + 1658924.

Almost surely, 2^147640320 is an apocalyptic number.

147640320 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 147640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267599970).

147640320 is an abundant number, since it is smaller than the sum of its proper divisors (387559620).

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

147640320 is an frugal number, since it uses more digits than its factorization.

147640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 147640320 is about 12150.7333112039. The cubic root of 147640320 is about 528.5283966498.

The spelling of 147640320 in words is "one hundred forty-seven million, six hundred forty thousand, three hundred twenty".