145773441600 has 336 divisors, whose sum is σ = 520798958400. Its totient is φ = 35556433920.

The previous prime is 145773441599. The next prime is 145773441607. The reversal of 145773441600 is 6144377541.

It is a super-2 number, since 2×145773441600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145773441607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2617242 + ... + 2672358.

It is an arithmetic number, because the mean of its divisors is an integer number (1549996900).

Almost surely, 2^145773441600 is an apocalyptic number.

145773441600 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 145773441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260399479200).

145773441600 is an abundant number, since it is smaller than the sum of its proper divisors (375025516800).

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

145773441600 is a wasteful number, since it uses less digits than its factorization.

145773441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55190 (or 55175 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 145773441600 in words is "one hundred forty-five billion, seven hundred seventy-three million, four hundred forty-one thousand, six hundred".