145912479952 has 160 divisors (see below), whose sum is σ = 326584811520. Its totient is φ = 62694881280.

The previous prime is 145912479931. The next prime is 145912479953. The reversal of 145912479952 is 259974219541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145912479953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42132973 + ... + 42136435.

It is an arithmetic number, because the mean of its divisors is an integer number (2041155072).

Almost surely, 2^145912479952 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 145912479952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163292405760).

145912479952 is an abundant number, since it is smaller than the sum of its proper divisors (180672331568).

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

145912479952 is a wasteful number, since it uses less digits than its factorization.

145912479952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3795 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 58.

The spelling of 145912479952 in words is "one hundred forty-five billion, nine hundred twelve million, four hundred seventy-nine thousand, nine hundred fifty-two".