145772064 has 144 divisors (see below), whose sum is σ = 432432000. Its totient is φ = 46545408.

The previous prime is 145772063. The next prime is 145772071. The reversal of 145772064 is 460277541.

145772064 is a `hidden beast` number, since 1 + 4 + 577 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (145772063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978262 + ... + 978410.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2^145772064 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 145772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216000).

145772064 is an abundant number, since it is smaller than the sum of its proper divisors (286659936).

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

145772064 is a wasteful number, since it uses less digits than its factorization.

145772064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 145772064 is about 12073.6102305814. The cubic root of 145772064 is about 526.2895753568.

It can be divided in two parts, 14577 and 2064, that added together give a square (16641 = 129²).

The spelling of 145772064 in words is "one hundred forty-five million, seven hundred seventy-two thousand, sixty-four".