145722585600 has 720 divisors, whose sum is σ = 568576034400. Its totient is φ = 36548444160.

The previous prime is 145722585599. The next prime is 145722585623. The reversal of 145722585600 is 6585227541.

145722585600 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 2 + 2 + 585 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 99877671 + ... + 99879129.

Almost surely, 2^145722585600 is an apocalyptic number.

145722585600 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 145722585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284288017200).

145722585600 is an abundant number, since it is smaller than the sum of its proper divisors (422853448800).

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

145722585600 is a wasteful number, since it uses less digits than its factorization.

145722585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 145722585600 in words is "one hundred forty-five billion, seven hundred twenty-two million, five hundred eighty-five thousand, six hundred".