145824096 has 96 divisors (see below), whose sum is σ = 442205568. Its totient is φ = 41584640.

The previous prime is 145824061. The next prime is 145824101. The reversal of 145824096 is 690428541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13891 + ... + 22013.

It is an arithmetic number, because the mean of its divisors is an integer number (4606308).

Almost surely, 2^145824096 is an apocalyptic number.

145824096 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 145824096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221102784).

145824096 is an abundant number, since it is smaller than the sum of its proper divisors (296381472).

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

145824096 is a wasteful number, since it uses less digits than its factorization.

145824096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 145824096 is about 12075.7648204989. The cubic root of 145824096 is about 526.3521859855.

The spelling of 145824096 in words is "one hundred forty-five million, eight hundred twenty-four thousand, ninety-six".