145461024576 has 168 divisors, whose sum is σ = 476695739520. Its totient is φ = 41543248896.

The previous prime is 145461024559. The next prime is 145461024601. The reversal of 145461024576 is 675420164541.

145461024576 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 610 + 24 + 5 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×145461024576³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12408670 + ... + 12420386.

It is an arithmetic number, because the mean of its divisors is an integer number (2837474640).

Almost surely, 2^145461024576 is an apocalyptic number.

145461024576 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 145461024576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238347869760).

145461024576 is an abundant number, since it is smaller than the sum of its proper divisors (331234714944).

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

145461024576 is a wasteful number, since it uses less digits than its factorization.

145461024576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14821 (or 14808 counting only the distinct ones).

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

The spelling of 145461024576 in words is "one hundred forty-five billion, four hundred sixty-one million, twenty-four thousand, five hundred seventy-six".