148508035200 has 1536 divisors, whose sum is σ = 654033139200. Its totient is φ = 32204390400.

The previous prime is 148508035127. The next prime is 148508035219. The reversal of 148508035200 is 2530805841.

It is a happy number.

148508035200 is a `hidden beast` number, since 1 + 4 + 8 + 50 + 80 + 3 + 520 + 0 = 666.

148508035200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1314230344 + ... + 1314230456.

It is an arithmetic number, because the mean of its divisors is an integer number (425802825).

Almost surely, 2^148508035200 is an apocalyptic number.

148508035200 is a gapful number since it is divisible by the number (10) 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 148508035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327016569600).

148508035200 is an abundant number, since it is smaller than the sum of its proper divisors (505525104000).

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

148508035200 is a wasteful number, since it uses less digits than its factorization.

148508035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 148508035200 in words is "one hundred forty-eight billion, five hundred eight million, thirty-five thousand, two hundred".