145664000 has 96 divisors (see below), whose sum is σ = 364127400. Its totient is φ = 58163200.

The previous prime is 145663993. The next prime is 145664011. The reversal of 145664000 is 466541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20939776 + 124724224 = 4576^2 + 11168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255716 + ... + 256284.

Almost surely, 2^145664000 is an apocalyptic number.

145664000 is a gapful number since it is divisible by the number (10) 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 145664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182063700).

145664000 is an abundant number, since it is smaller than the sum of its proper divisors (218463400).

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

145664000 is an frugal number, since it uses more digits than its factorization.

145664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 145664000 is about 12069.1341860135. The cubic root of 145664000 is about 526.1594932395.

It can be divided in two parts, 1456 and 64000, that added together give a palindrome (65456).

The spelling of 145664000 in words is "one hundred forty-five million, six hundred sixty-four thousand".