1540204151121 has 12 divisors (see below), whose sum is σ = 2224750181940. Its totient is φ = 1026797758560.

The previous prime is 1540204151069. The next prime is 1540204151137. The reversal of 1540204151121 is 1211514020451.

1540204151121 is a `hidden beast` number, since 1 + 540 + 2 + 0 + 4 + 1 + 5 + 112 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1217226758400 + 322977392721 = 1103280^2 + 568311^2 .

It is not a de Polignac number, because 1540204151121 - 2⁷ = 1540204150993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1540204151191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3019591 + ... + 3492611.

It is an arithmetic number, because the mean of its divisors is an integer number (185395848495).

Almost surely, 2^{1540204151121} is an apocalyptic number.

It is an amenable number.

1540204151121 is a deficient number, since it is larger than the sum of its proper divisors (684546030819).

1540204151121 is a wasteful number, since it uses less digits than its factorization.

1540204151121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834816 (or 834813 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 1540204151121 its reverse (1211514020451), we get a palindrome (2751718171572).

The spelling of 1540204151121 in words is "one trillion, five hundred forty billion, two hundred four million, one hundred fifty-one thousand, one hundred twenty-one".