145821467809600 has 252 divisors, whose sum is σ = 395187241120000. Its totient is φ = 52919688729600.

The previous prime is 145821467809543. The next prime is 145821467809603. The reversal of 145821467809600 is 6908764128541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145821467809603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95851681 + ... + 97361119.

Almost surely, 2^{145821467809600} is an apocalyptic number.

145821467809600 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 145821467809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197593620560000).

145821467809600 is an abundant number, since it is smaller than the sum of its proper divisors (249365773310400).

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

145821467809600 is a wasteful number, since it uses less digits than its factorization.

145821467809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509982 (or 1509956 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 145821467809600 in words is "one hundred forty-five trillion, eight hundred twenty-one billion, four hundred sixty-seven million, eight hundred nine thousand, six hundred".