145327010000 has 200 divisors, whose sum is σ = 376471365600. Its totient is φ = 54164160000.

The previous prime is 145327009951. The next prime is 145327010011. The reversal of 145327010000 is 10723541.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×145327010000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11583731 + ... + 11596269.

It is an arithmetic number, because the mean of its divisors is an integer number (1882356828).

Almost surely, 2^145327010000 is an apocalyptic number.

145327010000 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 145327010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188235682800).

145327010000 is an abundant number, since it is smaller than the sum of its proper divisors (231144355600).

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

145327010000 is a wasteful number, since it uses less digits than its factorization.

145327010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 145327010000 its reverse (10723541), we get a palindrome (145337733541).

The spelling of 145327010000 in words is "one hundred forty-five billion, three hundred twenty-seven million, ten thousand".