145502839200 has 288 divisors, whose sum is σ = 494845327872. Its totient is φ = 37065600000.

The previous prime is 145502839199. The next prime is 145502839201. The reversal of 145502839200 is 2938205541.

It is an interprime number because it is at equal distance from previous prime (145502839199) and next prime (145502839201).

It is a super-2 number, since 2×145502839200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145502839201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64638075 + ... + 64640325.

It is an arithmetic number, because the mean of its divisors is an integer number (1718212944).

Almost surely, 2^145502839200 is an apocalyptic number.

145502839200 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 145502839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247422663936).

145502839200 is an abundant number, since it is smaller than the sum of its proper divisors (349342488672).

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

145502839200 is a wasteful number, since it uses less digits than its factorization.

145502839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 145502839200 in words is "one hundred forty-five billion, five hundred two million, eight hundred thirty-nine thousand, two hundred".