145472529920256 has 1152 divisors, whose sum is σ = 568204204216320. Its totient is φ = 35542587801600.

The previous prime is 145472529920231. The next prime is 145472529920261. The reversal of 145472529920256 is 652029925274541.

145472529920256 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 72 + 5 + 299 + 20 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×145472529920256² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 145472529920193 and 145472529920202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22411417171 + ... + 22411423661.

It is an arithmetic number, because the mean of its divisors is an integer number (493232816160).

Almost surely, 2^{145472529920256} is an apocalyptic number.

145472529920256 is a gapful number since it is divisible by the number (16) 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 145472529920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284102102108160).

145472529920256 is an abundant number, since it is smaller than the sum of its proper divisors (422731674296064).

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

145472529920256 is a wasteful number, since it uses less digits than its factorization.

145472529920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 145472529920256 in words is "one hundred forty-five trillion, four hundred seventy-two billion, five hundred twenty-nine million, nine hundred twenty thousand, two hundred fifty-six".