145152020523000 has 256 divisors, whose sum is σ = 469086167347200. Its totient is φ = 37324969382400.

The previous prime is 145152020522981. The next prime is 145152020523031. The reversal of 145152020523000 is 325020251541.

145152020523000 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67409017 + ... + 69528983.

It is an arithmetic number, because the mean of its divisors is an integer number (1832367841200).

Almost surely, 2^{145152020523000} is an apocalyptic number.

145152020523000 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 145152020523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234543083673600).

145152020523000 is an abundant number, since it is smaller than the sum of its proper divisors (323934146824200).

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

145152020523000 is a wasteful number, since it uses less digits than its factorization.

145152020523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120807 (or 2120793 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 145152020523000 its reverse (325020251541), we get a palindrome (145477040774541).

The spelling of 145152020523000 in words is "one hundred forty-five trillion, one hundred fifty-two billion, twenty million, five hundred twenty-three thousand".