1540088267130 has 256 divisors, whose sum is σ = 4861290470400. Its totient is φ = 339472788480.

The previous prime is 1540088267129. The next prime is 1540088267191. The reversal of 1540088267130 is 317628800451.

1540088267130 is a `hidden beast` number, since 1 + 540 + 0 + 8 + 8 + 2 + 6 + 71 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46736460 + ... + 46769400.

It is an arithmetic number, because the mean of its divisors is an integer number (18989415900).

Almost surely, 2^{1540088267130} is an apocalyptic number.

1540088267130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540088267130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430645235200).

1540088267130 is an abundant number, since it is smaller than the sum of its proper divisors (3321202203270).

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

1540088267130 is a wasteful number, since it uses less digits than its factorization.

1540088267130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33846 (or 33840 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1540088267130 in words is "one trillion, five hundred forty billion, eighty-eight million, two hundred sixty-seven thousand, one hundred thirty".