145582535520 has 384 divisors, whose sum is σ = 540330134400. Its totient is φ = 36482973696.

The previous prime is 145582535491. The next prime is 145582535521. The reversal of 145582535520 is 25535285541.

145582535520 is a `hidden beast` number, since 1 + 4 + 558 + 25 + 3 + 55 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145582535521) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 71749866 + ... + 71751894.

It is an arithmetic number, because the mean of its divisors is an integer number (1407109725).

Almost surely, 2^145582535520 is an apocalyptic number.

145582535520 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 145582535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270165067200).

145582535520 is an abundant number, since it is smaller than the sum of its proper divisors (394747598880).

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

145582535520 is a wasteful number, since it uses less digits than its factorization.

145582535520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 145582535520 in words is "one hundred forty-five billion, five hundred eighty-two million, five hundred thirty-five thousand, five hundred twenty".