145129013768 has 20 divisors (see below), whose sum is σ = 272860389615. Its totient is φ = 72366783432.

The previous prime is 145129013767. The next prime is 145129013791. The reversal of 145129013768 is 867310921541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 72564506884 + 72564506884 = 269378^2 + 269378^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=269378.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145129013767) by changing a digit.

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 4 ways as a sum of consecutive naturals, for example, 395446721 + ... + 395447087.

It is a 1-persistent number, because it is pandigital, but 2⋅145129013768 = 290258027536 is not.

Almost surely, 2^145129013768 is an apocalyptic number.

It is an amenable number.

145129013768 is a deficient number, since it is larger than the sum of its proper divisors (127731375847).

145129013768 is an frugal number, since it uses more digits than its factorization.

145129013768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 145129013768 in words is "one hundred forty-five billion, one hundred twenty-nine million, thirteen thousand, seven hundred sixty-eight".