145313754084 has 192 divisors, whose sum is σ = 399058759680. Its totient is φ = 46205606304.

The previous prime is 145313754073. The next prime is 145313754097. The reversal of 145313754084 is 480457313541.

145313754084 is a `hidden beast` number, since 1 + 4 + 531 + 3 + 75 + 40 + 8 + 4 = 666.

It is a super-2 number, since 2×145313754084² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 97985607 + ... + 97987089.

It is an arithmetic number, because the mean of its divisors is an integer number (2078431040).

Almost surely, 2^145313754084 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 145313754084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199529379840).

145313754084 is an abundant number, since it is smaller than the sum of its proper divisors (253745005596).

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

145313754084 is a wasteful number, since it uses less digits than its factorization.

145313754084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 145313754084 in words is "one hundred forty-five billion, three hundred thirteen million, seven hundred fifty-four thousand, eighty-four".