145264925664 has 672 divisors, whose sum is σ = 467227595520. Its totient is φ = 44341862400.

The previous prime is 145264925639. The next prime is 145264925683. The reversal of 145264925664 is 466529462541.

145264925664 is a `hidden beast` number, since 1 + 4 + 526 + 4 + 9 + 2 + 56 + 64 = 666.

145264925664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145264925664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 145264925664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1632190132 + ... + 1632190220.

It is an arithmetic number, because the mean of its divisors is an integer number (695279160).

Almost surely, 2^145264925664 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 145264925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233613797760).

145264925664 is an abundant number, since it is smaller than the sum of its proper divisors (321962669856).

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

145264925664 is an equidigital number, since it uses as much as digits as its factorization.

145264925664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 145264925664 in words is "one hundred forty-five billion, two hundred sixty-four million, nine hundred twenty-five thousand, six hundred sixty-four".