145664640 has 384 divisors, whose sum is σ = 582379200. Its totient is φ = 33454080.

The previous prime is 145664611. The next prime is 145664689. The reversal of 145664640 is 46466541.

145664640 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145664595 and 145664604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7666551 + ... + 7666569.

Almost surely, 2^145664640 is an apocalyptic number.

145664640 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 145664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291189600).

145664640 is an abundant number, since it is smaller than the sum of its proper divisors (436714560).

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

145664640 is a wasteful number, since it uses less digits than its factorization.

145664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 145664640 is about 12069.1606998996. The cubic root of 145664640 is about 526.1602638294.

The spelling of 145664640 in words is "one hundred forty-five million, six hundred sixty-four thousand, six hundred forty".