145305534528 has 2240 divisors, whose sum is σ = 637300224000. Its totient is φ = 32188907520.

The previous prime is 145305534487. The next prime is 145305534587. The reversal of 145305534528 is 825435503541.

It is a happy number.

145305534528 is a `hidden beast` number, since 1 + 4 + 5 + 30 + 553 + 45 + 28 = 666.

It is a super-2 number, since 2×145305534528² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6317631925 + ... + 6317631947.

Almost surely, 2^145305534528 is an apocalyptic number.

145305534528 is a gapful number since it is divisible by the number (18) 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 145305534528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318650112000).

145305534528 is an abundant number, since it is smaller than the sum of its proper divisors (491994689472).

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

145305534528 is a wasteful number, since it uses less digits than its factorization.

145305534528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 145305534528 in words is "one hundred forty-five billion, three hundred five million, five hundred thirty-four thousand, five hundred twenty-eight".