148181701248 has 288 divisors, whose sum is σ = 496712055060. Its totient is φ = 42279100416.

The previous prime is 148181701247. The next prime is 148181701253. The reversal of 148181701248 is 842107181841.

148181701248 is a `hidden beast` number, since 1 + 481 + 81 + 70 + 1 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148138772544 + 42928704 = 384888^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (148181701247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56277340 + ... + 56279972.

Almost surely, 2^148181701248 is an apocalyptic number.

148181701248 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 148181701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248356027530).

148181701248 is an abundant number, since it is smaller than the sum of its proper divisors (348530353812).

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

148181701248 is a wasteful number, since it uses less digits than its factorization.

148181701248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 148181701248 in words is "one hundred forty-eight billion, one hundred eighty-one million, seven hundred one thousand, two hundred forty-eight".