145076864 has 32 divisors (see below), whose sum is σ = 292699200. Its totient is φ = 71615232.

The previous prime is 145076863. The next prime is 145076881. The reversal of 145076864 is 468670541.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (145076863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2939 + ... + 17285.

It is an arithmetic number, because the mean of its divisors is an integer number (9146850).

Almost surely, 2^145076864 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 145076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146349600).

145076864 is an abundant number, since it is smaller than the sum of its proper divisors (147622336).

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

145076864 is an equidigital number, since it uses as much as digits as its factorization.

145076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14440 (or 14428 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 145076864 is about 12044.7857598216. The cubic root of 145076864 is about 525.4516011450.

The spelling of 145076864 in words is "one hundred forty-five million, seventy-six thousand, eight hundred sixty-four".