148225334400 has 2304 divisors, whose sum is σ = 680636436480. Its totient is φ = 31352832000.

The previous prime is 148225334371. The next prime is 148225334483. The reversal of 148225334400 is 4433522841.

148225334400 is a `hidden beast` number, since 1 + 4 + 82 + 2 + 533 + 4 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3447100779 + ... + 3447100821.

It is an arithmetic number, because the mean of its divisors is an integer number (295415120).

Almost surely, 2^148225334400 is an apocalyptic number.

148225334400 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 148225334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340318218240).

148225334400 is an abundant number, since it is smaller than the sum of its proper divisors (532411102080).

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

148225334400 is a wasteful number, since it uses less digits than its factorization.

148225334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 148225334400 in words is "one hundred forty-eight billion, two hundred twenty-five million, three hundred thirty-four thousand, four hundred".