1135445151000 has 256 divisors, whose sum is σ = 3590645760000. Its totient is φ = 298705075200.

The previous prime is 1135445150977. The next prime is 1135445151013. The reversal of 1135445151000 is 1515445311.

It is a super-3 number, since 3×1135445151000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68190676 + ... + 68207324.

It is an arithmetic number, because the mean of its divisors is an integer number (14025960000).

Almost surely, 2^{1135445151000} is an apocalyptic number.

1135445151000 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 1135445151000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795322880000).

1135445151000 is an abundant number, since it is smaller than the sum of its proper divisors (2455200609000).

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

1135445151000 is a wasteful number, since it uses less digits than its factorization.

1135445151000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16979 (or 16965 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 1135445151000 in words is "one trillion, one hundred thirty-five billion, four hundred forty-five million, one hundred fifty-one thousand".