145302766596 has 243 divisors, whose sum is σ = 415290032703. Its totient is φ = 44461535040.

The previous prime is 145302766573. The next prime is 145302766613. The reversal of 145302766596 is 695667203541.

The square root of 145302766596 is 381186.

It is a perfect power (a square), and thus also a powerful number.

145302766596 is a `hidden beast` number, since 1 + 45 + 3 + 0 + 2 + 7 + 6 + 6 + 596 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111910320900 + 33392445696 = 334530^2 + 182736^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×145302766596² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 802777626 + ... + 802777806.

Almost surely, 2^145302766596 is an apocalyptic number.

145302766596 is the 381186-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145302766596

145302766596 is an abundant number, since it is smaller than the sum of its proper divisors (269987266107).

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

145302766596 is an frugal number, since it uses more digits than its factorization.

145302766596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 145302766596 in words is "one hundred forty-five billion, three hundred two million, seven hundred sixty-six thousand, five hundred ninety-six".