145865618075000 has 192 divisors, whose sum is σ = 367057622433600. Its totient is φ = 54140665600000.

The previous prime is 145865618074997. The next prime is 145865618075027. The reversal of 145865618075000 is 570816568541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27758006 + ... + 32591994.

It is an arithmetic number, because the mean of its divisors is an integer number (1911758450175).

Almost surely, 2^{145865618075000} is an apocalyptic number.

145865618075000 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 145865618075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183528811216800).

145865618075000 is an abundant number, since it is smaller than the sum of its proper divisors (221192004358600).

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

145865618075000 is an equidigital number, since it uses as much as digits as its factorization.

145865618075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834108 (or 4834084 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 56.

The spelling of 145865618075000 in words is "one hundred forty-five trillion, eight hundred sixty-five billion, six hundred eighteen million, seventy-five thousand".