148742438400 has 1440 divisors, whose sum is σ = 610883713440. Its totient is φ = 35672555520.

The previous prime is 148742438389. The next prime is 148742438407. The reversal of 148742438400 is 4834247841.

148742438400 is a `hidden beast` number, since 148 + 7 + 424 + 3 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148742438407) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1533427152 + ... + 1533427248.

It is an arithmetic number, because the mean of its divisors is an integer number (424224801).

Almost surely, 2^148742438400 is an apocalyptic number.

148742438400 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 148742438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305441856720).

148742438400 is an abundant number, since it is smaller than the sum of its proper divisors (462141275040).

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

148742438400 is an equidigital number, since it uses as much as digits as its factorization.

148742438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 148742438400 in words is "one hundred forty-eight billion, seven hundred forty-two million, four hundred thirty-eight thousand, four hundred".