1540981134 has 96 divisors (see below), whose sum is σ = 4171265280. Its totient is φ = 399427200.

The previous prime is 1540981103. The next prime is 1540981147. The reversal of 1540981134 is 4311890451.

1540981134 is a `hidden beast` number, since 1 + 540 + 9 + 81 + 1 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956922 + ... + 958530.

It is an arithmetic number, because the mean of its divisors is an integer number (43450680).

Almost surely, 2^1540981134 is an apocalyptic number.

1540981134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540981134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085632640).

1540981134 is an abundant number, since it is smaller than the sum of its proper divisors (2630284146).

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

1540981134 is a wasteful number, since it uses less digits than its factorization.

1540981134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1540981134 is about 39255.3325549536. The cubic root of 1540981134 is about 1155.0455393300.

The spelling of 1540981134 in words is "one billion, five hundred forty million, nine hundred eighty-one thousand, one hundred thirty-four".