1540053405135 has 64 divisors (see below), whose sum is σ = 3129306393600. Its totient is φ = 703954889856.

The previous prime is 1540053405119. The next prime is 1540053405139. The reversal of 1540053405135 is 5315043500451.

1540053405135 is a `hidden beast` number, since 1 + 5 + 40 + 0 + 534 + 0 + 51 + 35 = 666.

It is not a de Polignac number, because 1540053405135 - 2⁴ = 1540053405119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1540053405135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540053405139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10186717 + ... + 10336793.

It is an arithmetic number, because the mean of its divisors is an integer number (48895412400).

Almost surely, 2^{1540053405135} is an apocalyptic number.

1540053405135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1540053405135 is an abundant number, since it is smaller than the sum of its proper divisors (1589252988465).

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

1540053405135 is a wasteful number, since it uses less digits than its factorization.

1540053405135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160957 (or 160951 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 1540053405135 its reverse (5315043500451), we get a palindrome (6855096905586).

The spelling of 1540053405135 in words is "one trillion, five hundred forty billion, fifty-three million, four hundred five thousand, one hundred thirty-five".