145010775140 has 192 divisors, whose sum is σ = 412541337600. Its totient is φ = 41437785600.

The previous prime is 145010775139. The next prime is 145010775163. The reversal of 145010775140 is 41577010541.

145010775140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 145010775140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827126 + ... + 986994.

It is an arithmetic number, because the mean of its divisors is an integer number (2148652800).

Almost surely, 2^145010775140 is an apocalyptic number.

145010775140 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 145010775140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206270668800).

145010775140 is an abundant number, since it is smaller than the sum of its proper divisors (267530562460).

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

145010775140 is a wasteful number, since it uses less digits than its factorization.

145010775140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159946 (or 159944 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

Adding to 145010775140 its reverse (41577010541), we get a palindrome (186587785681).

The spelling of 145010775140 in words is "one hundred forty-five billion, ten million, seven hundred seventy-five thousand, one hundred forty".