145613452400 has 240 divisors, whose sum is σ = 399535365600. Its totient is φ = 50522849280.

The previous prime is 145613452393. The next prime is 145613452507. The reversal of 145613452400 is 4254316541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99802871 + ... + 99804329.

It is an arithmetic number, because the mean of its divisors is an integer number (1664730690).

Almost surely, 2^145613452400 is an apocalyptic number.

145613452400 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 145613452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199767682800).

145613452400 is an abundant number, since it is smaller than the sum of its proper divisors (253921913200).

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

145613452400 is a wasteful number, since it uses less digits than its factorization.

145613452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 145613452400 its reverse (4254316541), we get a palindrome (149867768941).

The spelling of 145613452400 in words is "one hundred forty-five billion, six hundred thirteen million, four hundred fifty-two thousand, four hundred".