145769788602256 has 405 divisors, whose sum is σ = 365096037906873. Its totient is φ = 56191109345280.

The previous prime is 145769788602131. The next prime is 145769788602293. The reversal of 145769788602256 is 652206887967541.

It is a happy number.

The square root of 145769788602256 is 12073516.

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

It can be written as a sum of positive squares in 13 ways, for example, as 135940209235600 + 9829579366656 = 11659340^2 + 3135216^2 .

It is a super-4 number, since 4×145769788602256⁴ (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 180185152380 + ... + 180185153188.

Almost surely, 2^{145769788602256} is an apocalyptic number.

145769788602256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145769788602256 is the 12073516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145769788602256

145769788602256 is an abundant number, since it is smaller than the sum of its proper divisors (219326249304617).

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

145769788602256 is an frugal number, since it uses more digits than its factorization.

145769788602256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 76.

The spelling of 145769788602256 in words is "one hundred forty-five trillion, seven hundred sixty-nine billion, seven hundred eighty-eight million, six hundred two thousand, two hundred fifty-six".