145616756505600 has 264 divisors, whose sum is σ = 481518391676400. Its totient is φ = 38811171553280.

The previous prime is 145616756505599. The next prime is 145616756505617. The reversal of 145616756505600 is 6505657616541.

It is a super-3 number, since 3×145616756505600³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149196784 + ... + 150169616.

Almost surely, 2^{145616756505600} is an apocalyptic number.

145616756505600 is a gapful number since it is divisible by the number (10) 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 145616756505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240759195838200).

145616756505600 is an abundant number, since it is smaller than the sum of its proper divisors (335901635170800).

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

145616756505600 is a wasteful number, since it uses less digits than its factorization.

145616756505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974815 (or 974792 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 57.

The spelling of 145616756505600 in words is "one hundred forty-five trillion, six hundred sixteen billion, seven hundred fifty-six million, five hundred five thousand, six hundred".