148733974483200 has 1620 divisors, whose sum is σ = 571669789711020. Its totient is φ = 38152727101440.

The previous prime is 148733974483151. The next prime is 148733974483219. The reversal of 148733974483200 is 2384479337841.

148733974483200 is a `hidden beast` number, since 1 + 4 + 8 + 73 + 3 + 97 + 448 + 32 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 84428458742016 + 64305515741184 = 9188496^2 + 8019072^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 169594041162 + ... + 169594042038.

Almost surely, 2^{148733974483200} is an apocalyptic number.

148733974483200 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 148733974483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285834894855510).

148733974483200 is an abundant number, since it is smaller than the sum of its proper divisors (422935815227820).

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

148733974483200 is an equidigital number, since it uses as much as digits as its factorization.

148733974483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 148733974483200 in words is "one hundred forty-eight trillion, seven hundred thirty-three billion, nine hundred seventy-four million, four hundred eighty-three thousand, two hundred".