148146768 has 240 divisors, whose sum is σ = 534822912. Its totient is φ = 37152000.

The previous prime is 148146767. The next prime is 148146769. The reversal of 148146768 is 867641841.

148146768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148146767) and next prime (148146769).

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 (148146767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343513 + ... + 343943.

Almost surely, 2^148146768 is an apocalyptic number.

148146768 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 148146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267411456).

148146768 is an abundant number, since it is smaller than the sum of its proper divisors (386676144).

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

148146768 is a wasteful number, since it uses less digits than its factorization.

148146768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

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

The square root of 148146768 is about 12171.5556935011. Note that the first 3 decimals coincide. The cubic root of 148146768 is about 529.1320408478.

The spelling of 148146768 in words is "one hundred forty-eight million, one hundred forty-six thousand, seven hundred sixty-eight".