145156206720 has 256 divisors, whose sum is σ = 529275617280. Its totient is φ = 33147678720.

The previous prime is 145156206667. The next prime is 145156206721. The reversal of 145156206720 is 27602651541.

145156206720 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145156206721) 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 31 ways as a sum of consecutive naturals, for example, 16432705 + ... + 16441535.

It is an arithmetic number, because the mean of its divisors is an integer number (2067482880).

Almost surely, 2^145156206720 is an apocalyptic number.

145156206720 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 145156206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264637808640).

145156206720 is an abundant number, since it is smaller than the sum of its proper divisors (384119410560).

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

145156206720 is a wasteful number, since it uses less digits than its factorization.

145156206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 145156206720 in words is "one hundred forty-five billion, one hundred fifty-six million, two hundred six thousand, seven hundred twenty".