145511544042000 has 640 divisors, whose sum is σ = 548865402508800. Its totient is φ = 36749002752000.

The previous prime is 145511544041977. The next prime is 145511544042001. The reversal of 145511544042000 is 240445115541.

145511544042000 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 1 + 1 + 5 + 440 + 4 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145511544042001) 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, 3448364902 + ... + 3448407098.

It is an arithmetic number, because the mean of its divisors is an integer number (857602191420).

Almost surely, 2^{145511544042000} is an apocalyptic number.

145511544042000 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 145511544042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274432701254400).

145511544042000 is an abundant number, since it is smaller than the sum of its proper divisors (403353858466800).

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

145511544042000 is a wasteful number, since it uses less digits than its factorization.

145511544042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45609 (or 45587 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 145511544042000 its reverse (240445115541), we get a palindrome (145751989157541).

The spelling of 145511544042000 in words is "one hundred forty-five trillion, five hundred eleven billion, five hundred forty-four million, forty-two thousand".