145503064400 has 120 divisors (see below), whose sum is σ = 353506540800. Its totient is φ = 57547584000.

The previous prime is 145503064397. The next prime is 145503064411. The reversal of 145503064400 is 4460305541.

It is a super-2 number, since 2×145503064400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37125641 + ... + 37129559.

It is an arithmetic number, because the mean of its divisors is an integer number (2945887840).

Almost surely, 2^145503064400 is an apocalyptic number.

145503064400 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 145503064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176753270400).

145503064400 is an abundant number, since it is smaller than the sum of its proper divisors (208003476400).

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

145503064400 is a wasteful number, since it uses less digits than its factorization.

145503064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 145503064400 its reverse (4460305541), we get a palindrome (149963369941).

The spelling of 145503064400 in words is "one hundred forty-five billion, five hundred three million, sixty-four thousand, four hundred".