10153340234145 has 96 divisors (see below), whose sum is σ = 17847119415840. Its totient is φ = 5339342499840.

The previous prime is 10153340234129. The next prime is 10153340234153. The reversal of 10153340234145 is 54143204335101.

10153340234145 is a `hidden beast` number, since 1 + 0 + 1 + 533 + 40 + 2 + 3 + 41 + 45 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1261928702736 + 8891411531409 = 1123356^2 + 2981847^2 .

It is not a de Polignac number, because 10153340234145 - 2⁴ = 10153340234129 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1191562485 + ... + 1191571005.

It is an arithmetic number, because the mean of its divisors is an integer number (185907493915).

Almost surely, 2^{10153340234145} is an apocalyptic number.

10153340234145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10153340234145 is a deficient number, since it is larger than the sum of its proper divisors (7693779181695).

10153340234145 is a wasteful number, since it uses less digits than its factorization.

10153340234145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9795 (or 9792 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10153340234145 its reverse (54143204335101), we get a palindrome (64296544569246).

The spelling of 10153340234145 in words is "ten trillion, one hundred fifty-three billion, three hundred forty million, two hundred thirty-four thousand, one hundred forty-five".