1135139132160 has 1440 divisors, whose sum is σ = 4635033790464. Its totient is φ = 262766592000.

The previous prime is 1135139132117. The next prime is 1135139132173. The reversal of 1135139132160 is 612319315311.

1135139132160 is a `hidden beast` number, since 1 + 1 + 3 + 51 + 391 + 3 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3429423195 + ... + 3429423525.

Almost surely, 2^{1135139132160} is an apocalyptic number.

1135139132160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135139132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317516895232).

1135139132160 is an abundant number, since it is smaller than the sum of its proper divisors (3499894658304).

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

1135139132160 is a wasteful number, since it uses less digits than its factorization.

1135139132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 1135139132160 in words is "one trillion, one hundred thirty-five billion, one hundred thirty-nine million, one hundred thirty-two thousand, one hundred sixty".