145633743220 has 96 divisors (see below), whose sum is σ = 353069176320. Its totient is φ = 49427089920.

The previous prime is 145633743139. The next prime is 145633743239. The reversal of 145633743220 is 22347336541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5900305 + ... + 5924935.

It is an arithmetic number, because the mean of its divisors is an integer number (3677803920).

Almost surely, 2^145633743220 is an apocalyptic number.

145633743220 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 145633743220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176534588160).

145633743220 is an abundant number, since it is smaller than the sum of its proper divisors (207435433100).

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

145633743220 is a wasteful number, since it uses less digits than its factorization.

145633743220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25073 (or 25071 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 145633743220 in words is "one hundred forty-five billion, six hundred thirty-three million, seven hundred forty-three thousand, two hundred twenty".