145204252500000 has 192 divisors, whose sum is σ = 476450258409216. Its totient is φ = 38721132000000.

The previous prime is 145204252499989. The next prime is 145204252500017. The reversal of 145204252500000 is 5252402541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2180284 + ... + 17180283.

It is an arithmetic number, because the mean of its divisors is an integer number (2481511762548).

Almost surely, 2^{145204252500000} is an apocalyptic number.

145204252500000 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 145204252500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238225129204608).

145204252500000 is an abundant number, since it is smaller than the sum of its proper divisors (331246005909216).

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

145204252500000 is an frugal number, since it uses more digits than its factorization.

145204252500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19360615 (or 19360577 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 145204252500000 in words is "one hundred forty-five trillion, two hundred four billion, two hundred fifty-two million, five hundred thousand".