1132268742000 has 480 divisors, whose sum is σ = 4340740674816. Its totient is φ = 272797632000.

The previous prime is 1132268741941. The next prime is 1132268742037. The reversal of 1132268742000 is 2478622311.

It is a happy number.

1132268742000 is a `hidden beast` number, since 1 + 1 + 3 + 226 + 8 + 7 + 420 + 0 + 0 = 666.

It is a super-2 number, since 2×1132268742000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 32256459 + ... + 32291541.

Almost surely, 2^{1132268742000} is an apocalyptic number.

1132268742000 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 1132268742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170370337408).

1132268742000 is an abundant number, since it is smaller than the sum of its proper divisors (3208471932816).

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

1132268742000 is a wasteful number, since it uses less digits than its factorization.

1132268742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35286 (or 35267 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1132268742000 in words is "one trillion, one hundred thirty-two billion, two hundred sixty-eight million, seven hundred forty-two thousand".