145982069776 has 45 divisors (see below), whose sum is σ = 295743544509. Its totient is φ = 69800700288.

The previous prime is 145982069773. The next prime is 145982069777. The reversal of 145982069776 is 677960289541.

The square root of 145982069776 is 382076.

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

It can be written as a sum of positive squares in only one way, i.e., 1752259600 + 144229810176 = 41860^2 + 379776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145982069773) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35148916 + ... + 35153068.

Almost surely, 2^145982069776 is an apocalyptic number.

145982069776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145982069776 is the 382076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145982069776

145982069776 is an abundant number, since it is smaller than the sum of its proper divisors (149761474733).

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

145982069776 is an frugal number, since it uses more digits than its factorization.

145982069776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8360 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

Multiplying 145982069776 by its sum of digits (64), we get a square (9342852465664 = 3056608²).

The spelling of 145982069776 in words is "one hundred forty-five billion, nine hundred eighty-two million, sixty-nine thousand, seven hundred seventy-six".