147136320 has 168 divisors, whose sum is σ = 517330944. Its totient is φ = 38366208.

The previous prime is 147136303. The next prime is 147136333. The reversal of 147136320 is 23631741.

147136320 is a `hidden beast` number, since 14 + 7 + 13 + 632 + 0 = 666.

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, 134817 + ... + 135903.

Almost surely, 2^147136320 is an apocalyptic number.

147136320 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 147136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258665472).

147136320 is an abundant number, since it is smaller than the sum of its proper divisors (370194624).

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

147136320 is a wasteful number, since it uses less digits than its factorization.

147136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 147136320 is about 12129.9760923095. The cubic root of 147136320 is about 527.9262982526.

It can be divided in two parts, 147136 and 320, that added together give a square (147456 = 384²).

The spelling of 147136320 in words is "one hundred forty-seven million, one hundred thirty-six thousand, three hundred twenty".