145523511010512 has 320 divisors, whose sum is σ = 442622918534400. Its totient is φ = 45648526510080.

The previous prime is 145523511010489. The next prime is 145523511010529. The reversal of 145523511010512 is 215010115325541.

145523511010512 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 35 + 1 + 101 + 0 + 512 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4893011962 + ... + 4893041702.

It is an arithmetic number, because the mean of its divisors is an integer number (1383196620420).

Almost surely, 2^{145523511010512} is an apocalyptic number.

145523511010512 is a gapful number since it is divisible by the number (12) 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 145523511010512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221311459267200).

145523511010512 is an abundant number, since it is smaller than the sum of its proper divisors (297099407523888).

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

145523511010512 is a wasteful number, since it uses less digits than its factorization.

145523511010512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33731 (or 33719 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 145523511010512 in words is "one hundred forty-five trillion, five hundred twenty-three billion, five hundred eleven million, ten thousand, five hundred twelve".