145203122400 has 1152 divisors, whose sum is σ = 593961984000. Its totient is φ = 30075494400.

The previous prime is 145203122399. The next prime is 145203122423. The reversal of 145203122400 is 4221302541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 974517526 + ... + 974517674.

It is an arithmetic number, because the mean of its divisors is an integer number (515592000).

Almost surely, 2^145203122400 is an apocalyptic number.

145203122400 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 145203122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992000).

145203122400 is an abundant number, since it is smaller than the sum of its proper divisors (448758861600).

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

145203122400 is a wasteful number, since it uses less digits than its factorization.

145203122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 145203122400 its reverse (4221302541), we get a palindrome (149424424941).

The spelling of 145203122400 in words is "one hundred forty-five billion, two hundred three million, one hundred twenty-two thousand, four hundred".