148272768 has 224 divisors, whose sum is σ = 508376160. Its totient is φ = 42177024.

The previous prime is 148272767. The next prime is 148272791. The reversal of 148272768 is 867272841.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (148272767) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 653071 + ... + 653297.

Almost surely, 2^148272768 is an apocalyptic number.

148272768 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 148272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254188080).

148272768 is an abundant number, since it is smaller than the sum of its proper divisors (360103392).

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

148272768 is an frugal number, since it uses more digits than its factorization.

148272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 148272768 is about 12176.7305956895. The cubic root of 148272768 is about 529.2820086707.

The spelling of 148272768 in words is "one hundred forty-eight million, two hundred seventy-two thousand, seven hundred sixty-eight".