145528533696 has 672 divisors, whose sum is σ = 504415226880. Its totient is φ = 36183932928.

The previous prime is 145528533611. The next prime is 145528533721. The reversal of 145528533696 is 696335825541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (23328000) is a multiple of the sum of its prime divisors (450).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464947236 + ... + 464947548.

Almost surely, 2^145528533696 is an apocalyptic number.

145528533696 is a gapful number since it is divisible by the number (16) 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 145528533696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252207613440).

145528533696 is an abundant number, since it is smaller than the sum of its proper divisors (358886693184).

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

145528533696 is a wasteful number, since it uses less digits than its factorization.

145528533696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 57.

The spelling of 145528533696 in words is "one hundred forty-five billion, five hundred twenty-eight million, five hundred thirty-three thousand, six hundred ninety-six".