145761122592 has 90 divisors (see below), whose sum is σ = 428736585123. Its totient is φ = 48580561728.

The previous prime is 145761122587. The next prime is 145761122593. The reversal of 145761122592 is 295221167541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

145761122592 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 611 + 2 + 25 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72880561296 + 72880561296 = 269964^2 + 269964^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=269964.

It is not an unprimeable number, because it can be changed into a prime (145761122593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19433659 + ... + 19441157.

Almost surely, 2^145761122592 is an apocalyptic number.

145761122592 is a gapful number since it is divisible by the number (12) 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 145761122592

145761122592 is an abundant number, since it is smaller than the sum of its proper divisors (282975462531).

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

145761122592 is an frugal number, since it uses more digits than its factorization.

145761122592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 7504 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 145761122592 in words is "one hundred forty-five billion, seven hundred sixty-one million, one hundred twenty-two thousand, five hundred ninety-two".