148396147200 has 1800 divisors, whose sum is σ = 671921851392. Its totient is φ = 32188907520.

The previous prime is 148396147153. The next prime is 148396147259. The reversal of 148396147200 is 2741693841.

148396147200 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 9 + 614 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1168473537 + ... + 1168473663.

Almost surely, 2^148396147200 is an apocalyptic number.

148396147200 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 148396147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335960925696).

148396147200 is an abundant number, since it is smaller than the sum of its proper divisors (523525704192).

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

148396147200 is a wasteful number, since it uses less digits than its factorization.

148396147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 148396147200 in words is "one hundred forty-eight billion, three hundred ninety-six million, one hundred forty-seven thousand, two hundred".