146138428800 has 768 divisors, whose sum is σ = 658282867200. Its totient is φ = 30831943680.

The previous prime is 146138428789. The next prime is 146138428819. The reversal of 146138428800 is 8824831641.

146138428800 is a `hidden beast` number, since 1 + 4 + 613 + 8 + 4 + 28 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7853107 + ... + 7871693.

It is an arithmetic number, because the mean of its divisors is an integer number (857139150).

Almost surely, 2^146138428800 is an apocalyptic number.

146138428800 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 146138428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329141433600).

146138428800 is an abundant number, since it is smaller than the sum of its proper divisors (512144438400).

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

146138428800 is a wasteful number, since it uses less digits than its factorization.

146138428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18640 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 146138428800 in words is "one hundred forty-six billion, one hundred thirty-eight million, four hundred twenty-eight thousand, eight hundred".