145322135511552 has 480 divisors, whose sum is σ = 445831164979200. Its totient is φ = 45482489708544.

The previous prime is 145322135511461. The next prime is 145322135511557. The reversal of 145322135511552 is 255115531223541.

145322135511552 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 22 + 13 + 55 + 11 + 552 = 666.

It is a super-2 number, since 2×145322135511552² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145322135511498 and 145322135511507.

It is not an unprimeable number, because it can be changed into a prime (145322135511557) 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 47 ways as a sum of consecutive naturals, for example, 11070469213 + ... + 11070482339.

It is an arithmetic number, because the mean of its divisors is an integer number (928814927040).

Almost surely, 2^{145322135511552} is an apocalyptic number.

145322135511552 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 145322135511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222915582489600).

145322135511552 is an abundant number, since it is smaller than the sum of its proper divisors (300509029467648).

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

145322135511552 is a wasteful number, since it uses less digits than its factorization.

145322135511552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15456 (or 15437 counting only the distinct ones).

The product of its digits is 900000, while the sum is 45.

The spelling of 145322135511552 in words is "one hundred forty-five trillion, three hundred twenty-two billion, one hundred thirty-five million, five hundred eleven thousand, five hundred fifty-two".