145257302265768 has 768 divisors, whose sum is σ = 536235707105280. Its totient is φ = 34354575360000.

The previous prime is 145257302265749. The next prime is 145257302265787. The reversal of 145257302265768 is 867562203752541.

145257302265768 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 5 + 7 + 30 + 2 + 26 + 576 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (145257302265749) and next prime (145257302265787).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19841179548 + ... + 19841186868.

It is an arithmetic number, because the mean of its divisors is an integer number (698223576960).

Almost surely, 2^{145257302265768} is an apocalyptic number.

145257302265768 is a gapful number since it is divisible by the number (18) 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 145257302265768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268117853552640).

145257302265768 is an abundant number, since it is smaller than the sum of its proper divisors (390978404839512).

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

145257302265768 is a wasteful number, since it uses less digits than its factorization.

145257302265768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14190 (or 14183 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 145257302265768 in words is "one hundred forty-five trillion, two hundred fifty-seven billion, three hundred two million, two hundred sixty-five thousand, seven hundred sixty-eight".