145287995058000 has 960 divisors, whose sum is σ = 566092573113600. Its totient is φ = 35520083712000.

The previous prime is 145287995057999. The next prime is 145287995058013. The reversal of 145287995058000 is 850599782541.

145287995058000 is a `hidden beast` number, since 1 + 4 + 52 + 8 + 79 + 9 + 505 + 8 + 0 + 0 + 0 = 666.

145287995058000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145287995058000² (a number of 29 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 191 ways as a sum of consecutive naturals, for example, 985912324 + ... + 986059676.

It is an arithmetic number, because the mean of its divisors is an integer number (589679763660).

Almost surely, 2^{145287995058000} is an apocalyptic number.

145287995058000 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 145287995058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046286556800).

145287995058000 is an abundant number, since it is smaller than the sum of its proper divisors (420804578055600).

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

145287995058000 is a wasteful number, since it uses less digits than its factorization.

145287995058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147466 (or 147413 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 145287995058000 in words is "one hundred forty-five trillion, two hundred eighty-seven billion, nine hundred ninety-five million, fifty-eight thousand".