1135451331540 has 48 divisors (see below), whose sum is σ = 3532515255360. Its totient is φ = 302787021600.

The previous prime is 1135451331529. The next prime is 1135451331541. The reversal of 1135451331540 is 451331545311.

1135451331540 is a `hidden beast` number, since 1 + 1 + 35 + 4 + 51 + 3 + 31 + 540 = 666.

It is a super-3 number, since 3×1135451331540³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1135451331495 and 1135451331504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135451331541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051343286 + ... + 1051344365.

It is an arithmetic number, because the mean of its divisors is an integer number (73594067820).

Almost surely, 2^{1135451331540} is an apocalyptic number.

1135451331540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135451331540 is an abundant number, since it is smaller than the sum of its proper divisors (2397063923820).

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

1135451331540 is a wasteful number, since it uses less digits than its factorization.

1135451331540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102687669 (or 2102687661 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 1135451331540 its reverse (451331545311), we get a palindrome (1586782876851).

The spelling of 1135451331540 in words is "one trillion, one hundred thirty-five billion, four hundred fifty-one million, three hundred thirty-one thousand, five hundred forty".