1540514145131 has 16 divisors (see below), whose sum is σ = 1746825158400. Its totient is φ = 1346789693088.

The previous prime is 1540514145109. The next prime is 1540514145197. The reversal of 1540514145131 is 1315414150451.

It is a cyclic number.

It is not a de Polignac number, because 1540514145131 - 2²² = 1540509950827 is a prime.

It is a super-2 number, since 2×1540514145131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1540514145091 and 1540514145100.

It is not an unprimeable number, because it can be changed into a prime (1540514145931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071 + ... + 1755288.

It is an arithmetic number, because the mean of its divisors is an integer number (109176572400).

Almost surely, 2^{1540514145131} is an apocalyptic number.

1540514145131 is a deficient number, since it is larger than the sum of its proper divisors (206311013269).

1540514145131 is a wasteful number, since it uses less digits than its factorization.

1540514145131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761938.

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 1540514145131 its reverse (1315414150451), we get a palindrome (2855928295582).

The spelling of 1540514145131 in words is "one trillion, five hundred forty billion, five hundred fourteen million, one hundred forty-five thousand, one hundred thirty-one".