54135544553145 has 64 divisors (see below), whose sum is σ = 106468881684480. Its totient is φ = 25877853086400.

The previous prime is 54135544553107. The next prime is 54135544553161.

54135544553145 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 5 + 5 + 44 + 553 + 1 + 45 = 666.

54135544553145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54135544553145 - 2¹⁹ = 54135544028857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54135544553091 and 54135544553100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256619299 + ... + 256830168.

It is an arithmetic number, because the mean of its divisors is an integer number (1663576276320).

Almost surely, 2^{54135544553145} is an apocalyptic number.

54135544553145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54135544553145 is a deficient number, since it is larger than the sum of its proper divisors (52333337131335).

54135544553145 is a wasteful number, since it uses less digits than its factorization.

54135544553145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513449563 (or 513449557 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

It can be divided in two parts, 5413554 and 4553145, that added together give a palindrome (9966699).

The spelling of 54135544553145 in words is "fifty-four trillion, one hundred thirty-five billion, five hundred forty-four million, five hundred fifty-three thousand, one hundred forty-five".