148527820800 has 936 divisors, whose sum is σ = 567872987136. Its totient is φ = 38459473920.

The previous prime is 148527820733. The next prime is 148527820853. The reversal of 148527820800 is 8028725841.

It is a happy number.

148527820800 is a `hidden beast` number, since 1 + 48 + 527 + 8 + 2 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 1169510337 + ... + 1169510463.

Almost surely, 2^148527820800 is an apocalyptic number.

148527820800 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 148527820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283936493568).

148527820800 is an abundant number, since it is smaller than the sum of its proper divisors (419345166336).

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

148527820800 is an equidigital number, since it uses as much as digits as its factorization.

148527820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 148527820800 in words is "one hundred forty-eight billion, five hundred twenty-seven million, eight hundred twenty thousand, eight hundred".