145247846400 has 810 divisors, whose sum is σ = 550731942306. Its totient is φ = 36569088000.

The previous prime is 145247846377. The next prime is 145247846407. The reversal of 145247846400 is 4648742541.

145247846400 is a `hidden beast` number, since 1 + 4 + 524 + 7 + 84 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 141705216 + 145106141184 = 11904^2 + 380928^2 .

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 (145247846407) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 3542630380 + ... + 3542630420.

Almost surely, 2^145247846400 is an apocalyptic number.

145247846400 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 145247846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275365971153).

145247846400 is an abundant number, since it is smaller than the sum of its proper divisors (405484095906).

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

145247846400 is an equidigital number, since it uses as much as digits as its factorization.

145247846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 145247846400 in words is "one hundred forty-five billion, two hundred forty-seven million, eight hundred forty-six thousand, four hundred".