145720165500 has 864 divisors, whose sum is σ = 587907919872. Its totient is φ = 29719872000.

The previous prime is 145720165483. The next prime is 145720165519. The reversal of 145720165500 is 5561027541.

145720165500 is a `hidden beast` number, since 145 + 7 + 2 + 0 + 1 + 6 + 5 + 500 = 666.

145720165500 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 165028059 + ... + 165028941.

Almost surely, 2^145720165500 is an apocalyptic number.

145720165500 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 145720165500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293953959936).

145720165500 is an abundant number, since it is smaller than the sum of its proper divisors (442187754372).

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

145720165500 is a wasteful number, since it uses less digits than its factorization.

145720165500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 145720165500 in words is "one hundred forty-five billion, seven hundred twenty million, one hundred sixty-five thousand, five hundred".