1153112408136 has 1152 divisors, whose sum is σ = 3913588224000. Its totient is φ = 316607616000.

The previous prime is 1153112408113. The next prime is 1153112408141. The reversal of 1153112408136 is 6318042113511.

1153112408136 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 112 + 408 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1153112408136.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11416954486 + ... + 11416954586.

It is an arithmetic number, because the mean of its divisors is an integer number (3397212000).

Almost surely, 2^{1153112408136} 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 1153112408136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956794112000).

1153112408136 is an abundant number, since it is smaller than the sum of its proper divisors (2760475815864).

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

1153112408136 is a wasteful number, since it uses less digits than its factorization.

1153112408136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

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

The spelling of 1153112408136 in words is "one trillion, one hundred fifty-three billion, one hundred twelve million, four hundred eight thousand, one hundred thirty-six".