145646054400 has 792 divisors, whose sum is σ = 604963502080. Its totient is φ = 30250598400.

The previous prime is 145646054353. The next prime is 145646054401. The reversal of 145646054400 is 4450646541.

145646054400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145646054401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65048481 + ... + 65050719.

Almost surely, 2^145646054400 is an apocalyptic number.

145646054400 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 145646054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302481751040).

145646054400 is an abundant number, since it is smaller than the sum of its proper divisors (459317447680).

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

145646054400 is a wasteful number, since it uses less digits than its factorization.

145646054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 145646054400 in words is "one hundred forty-five billion, six hundred forty-six million, fifty-four thousand, four hundred".