145508045332182 has 384 divisors, whose sum is σ = 364623411340800. Its totient is φ = 38406815096832.

The previous prime is 145508045332151. The next prime is 145508045332207. The reversal of 145508045332182 is 281233540805541.

It is a happy number.

It is a super-2 number, since 2×145508045332182² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2687945988 + ... + 2688000120.

It is an arithmetic number, because the mean of its divisors is an integer number (949540133700).

Almost surely, 2^{145508045332182} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145508045332182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182311705670400).

145508045332182 is an abundant number, since it is smaller than the sum of its proper divisors (219115366008618).

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

145508045332182 is a wasteful number, since it uses less digits than its factorization.

145508045332182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54512 (or 54499 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 145508045332182 in words is "one hundred forty-five trillion, five hundred eight billion, forty-five million, three hundred thirty-two thousand, one hundred eighty-two".