147138768 has 200 divisors, whose sum is σ = 498132800. Its totient is φ = 41912640.

The previous prime is 147138763. The next prime is 147138781. The reversal of 147138768 is 867831741.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147138763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 444363 + ... + 444693.

It is an arithmetic number, because the mean of its divisors is an integer number (2490664).

Almost surely, 2^147138768 is an apocalyptic number.

147138768 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 147138768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249066400).

147138768 is an abundant number, since it is smaller than the sum of its proper divisors (350994032).

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

147138768 is an equidigital number, since it uses as much as digits as its factorization.

147138768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 343 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 147138768 is about 12130.0769989312. The cubic root of 147138768 is about 527.9292260510.

The spelling of 147138768 in words is "one hundred forty-seven million, one hundred thirty-eight thousand, seven hundred sixty-eight".