145584768 has 128 divisors (see below), whose sum is σ = 453075840. Its totient is φ = 40550400.

The previous prime is 145584763. The next prime is 145584781. The reversal of 145584768 is 867485541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145584768² = 42389849347227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (145584763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109548 + ... + 110868.

It is an arithmetic number, because the mean of its divisors is an integer number (3539655).

Almost surely, 2^145584768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226537920).

145584768 is an abundant number, since it is smaller than the sum of its proper divisors (307491072).

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

145584768 is a wasteful number, since it uses less digits than its factorization.

145584768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 145584768 is about 12065.8513168363. The cubic root of 145584768 is about 526.0640767790.

The spelling of 145584768 in words is "one hundred forty-five million, five hundred eighty-four thousand, seven hundred sixty-eight".