1540154101221 has 48 divisors (see below), whose sum is σ = 2245880183040. Its totient is φ = 1017028172160.

The previous prime is 1540154101181. The next prime is 1540154101223. The reversal of 1540154101221 is 1221014510451.

1540154101221 is a `hidden beast` number, since 1 + 540 + 15 + 4 + 101 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 1540154101221 - 2¹³ = 1540154093029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540154101223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744394375 + ... + 744396443.

It is an arithmetic number, because the mean of its divisors is an integer number (46789170480).

Almost surely, 2^{1540154101221} is an apocalyptic number.

It is an amenable number.

1540154101221 is a deficient number, since it is larger than the sum of its proper divisors (705726081819).

1540154101221 is a wasteful number, since it uses less digits than its factorization.

1540154101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3703 counting only the distinct ones).

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

Adding to 1540154101221 its reverse (1221014510451), we get a palindrome (2761168611672).

The spelling of 1540154101221 in words is "one trillion, five hundred forty billion, one hundred fifty-four million, one hundred one thousand, two hundred twenty-one".