145368864 has 96 divisors (see below), whose sum is σ = 426142080. Its totient is φ = 48211200.

The previous prime is 145368863. The next prime is 145368871. The reversal of 145368864 is 468863541.

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

It is a super-2 number, since 2×145368864² = 42264213241300992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145368863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268434 + ... + 268974.

It is an arithmetic number, because the mean of its divisors is an integer number (4438980).

Almost surely, 2^145368864 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 145368864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213071040).

145368864 is an abundant number, since it is smaller than the sum of its proper divisors (280773216).

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

145368864 is a wasteful number, since it uses less digits than its factorization.

145368864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 145368864 is about 12056.9010943940. The cubic root of 145368864 is about 525.8038949555.

The spelling of 145368864 in words is "one hundred forty-five million, three hundred sixty-eight thousand, eight hundred sixty-four".