145164155500 has 144 divisors (see below), whose sum is σ = 392346811584. Its totient is φ = 45941875200.

The previous prime is 145164155497. The next prime is 145164155501. The reversal of 145164155500 is 5551461541.

145164155500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145164155500.

It is not an unprimeable number, because it can be changed into a prime (145164155501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468792 + ... + 714208.

It is an arithmetic number, because the mean of its divisors is an integer number (2724630636).

Almost surely, 2^145164155500 is an apocalyptic number.

145164155500 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 145164155500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196173405792).

145164155500 is an abundant number, since it is smaller than the sum of its proper divisors (247182656084).

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

145164155500 is a wasteful number, since it uses less digits than its factorization.

145164155500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245469 (or 245444 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 37.

The spelling of 145164155500 in words is "one hundred forty-five billion, one hundred sixty-four million, one hundred fifty-five thousand, five hundred".