145030502592 has 224 divisors, whose sum is σ = 432804173760. Its totient is φ = 48211697664.

The previous prime is 145030502537. The next prime is 145030502623. The reversal of 145030502592 is 295205030541.

It is a happy number.

145030502592 is a `hidden beast` number, since 14 + 5 + 0 + 3 + 0 + 50 + 2 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 60604948 + ... + 60607340.

It is an arithmetic number, because the mean of its divisors is an integer number (1932161490).

Almost surely, 2^145030502592 is an apocalyptic number.

145030502592 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 145030502592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216402086880).

145030502592 is an abundant number, since it is smaller than the sum of its proper divisors (287773671168).

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

145030502592 is an frugal number, since it uses more digits than its factorization.

145030502592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 145030502592 in words is "one hundred forty-five billion, thirty million, five hundred two thousand, five hundred ninety-two".