145553034000 has 960 divisors, whose sum is σ = 557176838400. Its totient is φ = 32394240000.

The previous prime is 145553033999. The next prime is 145553034001. The reversal of 145553034000 is 430355541.

It is an interprime number because it is at equal distance from previous prime (145553033999) and next prime (145553034001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145553034001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 976865926 + ... + 976866074.

It is an arithmetic number, because the mean of its divisors is an integer number (580392540).

Almost surely, 2^145553034000 is an apocalyptic number.

145553034000 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 145553034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278588419200).

145553034000 is an abundant number, since it is smaller than the sum of its proper divisors (411623804400).

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

145553034000 is a wasteful number, since it uses less digits than its factorization.

145553034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 145553034000 its reverse (430355541), we get a palindrome (145983389541).

The spelling of 145553034000 in words is "one hundred forty-five billion, five hundred fifty-three million, thirty-four thousand".