147083688 has 80 divisors (see below), whose sum is σ = 418836660. Its totient is φ = 48224160.

The previous prime is 147083659. The next prime is 147083753. The reversal of 147083688 is 886380741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 136469124 = 3258^2 + 11682^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=366.

It is a super-2 number, since 2×147083688² = 43267222551362688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2411178 + ... + 2411238.

Almost surely, 2^147083688 is an apocalyptic number.

147083688 is a gapful number since it is divisible by the number (18) 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 147083688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209418330).

147083688 is an abundant number, since it is smaller than the sum of its proper divisors (271752972).

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

147083688 is an frugal number, since it uses more digits than its factorization.

147083688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 147083688 is about 12127.8063968716. The cubic root of 147083688 is about 527.8633427325.

It can be divided in two parts, 1470 and 83688, that added together give a palindrome (85158).

The spelling of 147083688 in words is "one hundred forty-seven million, eighty-three thousand, six hundred eighty-eight".