148801153248 has 768 divisors, whose sum is σ = 506847559680. Its totient is φ = 42065049600.

The previous prime is 148801153219. The next prime is 148801153253. The reversal of 148801153248 is 842351108841.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1171662561 + ... + 1171662687.

It is an arithmetic number, because the mean of its divisors is an integer number (659957760).

Almost surely, 2^148801153248 is an apocalyptic number.

148801153248 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 148801153248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253423779840).

148801153248 is an abundant number, since it is smaller than the sum of its proper divisors (358046406432).

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

148801153248 is a wasteful number, since it uses less digits than its factorization.

148801153248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 148801153248 in words is "one hundred forty-eight billion, eight hundred one million, one hundred fifty-three thousand, two hundred forty-eight".