1540145468136 has 256 divisors, whose sum is σ = 4268880000000. Its totient is φ = 459186278400.

The previous prime is 1540145468129. The next prime is 1540145468149. The reversal of 1540145468136 is 6318645410451.

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, 3086463615 + ... + 3086464113.

It is an arithmetic number, because the mean of its divisors is an integer number (16675312500).

Almost surely, 2^{1540145468136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540145468136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134440000000).

1540145468136 is an abundant number, since it is smaller than the sum of its proper divisors (2728734531864).

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

1540145468136 is a wasteful number, since it uses less digits than its factorization.

1540145468136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 1540145468136 in words is "one trillion, five hundred forty billion, one hundred forty-five million, four hundred sixty-eight thousand, one hundred thirty-six".