145252000000 has 126 divisors (see below), whose sum is σ = 362426103074. Its totient is φ = 58099200000.

The previous prime is 145251999953. The next prime is 145252000013. The reversal of 145252000000 is 252541.

It can be written as a sum of positive squares in 7 ways, for example, as 136852644096 + 8399355904 = 369936^2 + 91648^2 .

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 13 ways as a sum of consecutive naturals, for example, 3981844 + ... + 4018156.

Almost surely, 2^145252000000 is an apocalyptic number.

145252000000 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 145252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181213051537).

145252000000 is an abundant number, since it is smaller than the sum of its proper divisors (217174103074).

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

145252000000 is an frugal number, since it uses more digits than its factorization.

145252000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36359 (or 36320 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 145252000000 its reverse (252541), we get a palindrome (145252252541).

The spelling of 145252000000 in words is "one hundred forty-five billion, two hundred fifty-two million", and thus it is an aban number.