145012627452 has 384 divisors, whose sum is σ = 463767994368. Its totient is φ = 34106572800.

The previous prime is 145012627411. The next prime is 145012627453. The reversal of 145012627452 is 254726210541.

It is a self number, because there is not a number n which added to its sum of digits gives 145012627452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145012627453) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93980193 + ... + 93981735.

It is an arithmetic number, because the mean of its divisors is an integer number (1207729152).

Almost surely, 2^145012627452 is an apocalyptic number.

145012627452 is a gapful number since it is divisible by the number (12) 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 145012627452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231883997184).

145012627452 is an abundant number, since it is smaller than the sum of its proper divisors (318755366916).

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

145012627452 is a wasteful number, since it uses less digits than its factorization.

145012627452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

Adding to 145012627452 its reverse (254726210541), we get a palindrome (399738837993).

The spelling of 145012627452 in words is "one hundred forty-five billion, twelve million, six hundred twenty-seven thousand, four hundred fifty-two".