145656864 has 72 divisors (see below), whose sum is σ = 425437740. Its totient is φ = 47236608.

The previous prime is 145656859. The next prime is 145656883. The reversal of 145656864 is 468656541.

145656864 is a `hidden beast` number, since 1 + 4 + 565 + 6 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127509264 + 18147600 = 11292^2 + 4260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3822 + ... + 17490.

Almost surely, 2^145656864 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 145656864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212718870).

145656864 is an abundant number, since it is smaller than the sum of its proper divisors (279780876).

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

145656864 is a wasteful number, since it uses less digits than its factorization.

145656864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13722 (or 13711 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 145656864 is about 12068.8385522386. The cubic root of 145656864 is about 526.1509010103.

The spelling of 145656864 in words is "one hundred forty-five million, six hundred fifty-six thousand, eight hundred sixty-four".