145192582080 has 2688 divisors, whose sum is σ = 709843599360. Its totient is φ = 27590492160.

The previous prime is 145192582079. The next prime is 145192582097. The reversal of 145192582080 is 80285291541.

145192582080 is a `hidden beast` number, since 1 + 4 + 519 + 2 + 58 + 2 + 0 + 80 = 666.

145192582080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 3924123822 + ... + 3924123858.

It is an arithmetic number, because the mean of its divisors is an integer number (264078720).

Almost surely, 2^145192582080 is an apocalyptic number.

145192582080 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 145192582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354921799680).

145192582080 is an abundant number, since it is smaller than the sum of its proper divisors (564651017280).

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

145192582080 is a wasteful number, since it uses less digits than its factorization.

145192582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 145192582080 in words is "one hundred forty-five billion, one hundred ninety-two million, five hundred eighty-two thousand, eighty".