1140137154000 has 640 divisors, whose sum is σ = 4410552706560. Its totient is φ = 279873792000.

The previous prime is 1140137153963. The next prime is 1140137154017. The reversal of 1140137154000 is 4517310411.

1140137154000 is a `hidden beast` number, since 1 + 1 + 40 + 13 + 71 + 540 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 278691955 + ... + 278696045.

It is an arithmetic number, because the mean of its divisors is an integer number (6891488604).

Almost surely, 2^{1140137154000} is an apocalyptic number.

1140137154000 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 1140137154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205276353280).

1140137154000 is an abundant number, since it is smaller than the sum of its proper divisors (3270415552560).

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

1140137154000 is a wasteful number, since it uses less digits than its factorization.

1140137154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 1140137154000 in words is "one trillion, one hundred forty billion, one hundred thirty-seven million, one hundred fifty-four thousand".