1150133137140 has 384 divisors, whose sum is σ = 3800377405440. Its totient is φ = 257192755200.

The previous prime is 1150133137129. The next prime is 1150133137199. The reversal of 1150133137140 is 417313310511.

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

It is a junction number, because it is equal to n+sod(n) for n = 1150133137098 and 1150133137107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168120120 + ... + 168126960.

It is an arithmetic number, because the mean of its divisors is an integer number (9896816160).

Almost surely, 2^{1150133137140} is an apocalyptic number.

1150133137140 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 1150133137140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900188702720).

1150133137140 is an abundant number, since it is smaller than the sum of its proper divisors (2650244268300).

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

1150133137140 is a wasteful number, since it uses less digits than its factorization.

1150133137140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7323 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

Adding to 1150133137140 its reverse (417313310511), we get a palindrome (1567446447651).

The spelling of 1150133137140 in words is "one trillion, one hundred fifty billion, one hundred thirty-three million, one hundred thirty-seven thousand, one hundred forty".