1135051533144 has 128 divisors (see below), whose sum is σ = 3336242688000. Its totient is φ = 356560444800.

The previous prime is 1135051533137. The next prime is 1135051533149. The reversal of 1135051533144 is 4413351505311.

1135051533144 is a `hidden beast` number, since 1 + 1 + 3 + 505 + 1 + 5 + 3 + 3 + 144 = 666.

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 = 1135051533099 and 1135051533108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135051533149) 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 31 ways as a sum of consecutive naturals, for example, 59854 + ... + 1507874.

It is an arithmetic number, because the mean of its divisors is an integer number (26064396000).

Almost surely, 2^{1135051533144} 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 1135051533144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668121344000).

1135051533144 is an abundant number, since it is smaller than the sum of its proper divisors (2201191154856).

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

1135051533144 is a wasteful number, since it uses less digits than its factorization.

1135051533144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448246 (or 1448236 counting only the distinct ones).

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

The spelling of 1135051533144 in words is "one trillion, one hundred thirty-five billion, fifty-one million, five hundred thirty-three thousand, one hundred forty-four".