145375058365056 has 1792 divisors, whose sum is σ = 499575151918080. Its totient is φ = 41794220851200.

The previous prime is 145375058365049. The next prime is 145375058365091. The reversal of 145375058365056 is 650563850573541.

145375058365056 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 75 + 0 + 58 + 3 + 6 + 505 + 6 = 666.

It is a super-2 number, since 2×145375058365056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145375058364984 and 145375058365002.

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 223 ways as a sum of consecutive naturals, for example, 226794162496 + ... + 226794163136.

It is an arithmetic number, because the mean of its divisors is an integer number (278780776740).

Almost surely, 2^{145375058365056} is an apocalyptic number.

145375058365056 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 145375058365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249787575959040).

145375058365056 is an abundant number, since it is smaller than the sum of its proper divisors (354200093553024).

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

145375058365056 is a wasteful number, since it uses less digits than its factorization.

145375058365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 226800000, while the sum is 63.

The spelling of 145375058365056 in words is "one hundred forty-five trillion, three hundred seventy-five billion, fifty-eight million, three hundred sixty-five thousand, fifty-six".