145124450405124 has 192 divisors, whose sum is σ = 364161960691200. Its totient is φ = 44821227110400.

The previous prime is 145124450405069. The next prime is 145124450405201. The reversal of 145124450405124 is 421504054421541.

It is a super-2 number, since 2×145124450405124² (a number of 29 digits) contains 22 as substring.

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, 3283262224 + ... + 3283306424.

It is an arithmetic number, because the mean of its divisors is an integer number (1896676878600).

Almost surely, 2^{145124450405124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145124450405124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182080980345600).

145124450405124 is an abundant number, since it is smaller than the sum of its proper divisors (219037510286076).

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

145124450405124 is a wasteful number, since it uses less digits than its factorization.

145124450405124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45198 (or 45196 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 42.

The spelling of 145124450405124 in words is "one hundred forty-five trillion, one hundred twenty-four billion, four hundred fifty million, four hundred five thousand, one hundred twenty-four".