1240545135144 has 192 divisors, whose sum is σ = 3682759694400. Its totient is φ = 347129266176.

The previous prime is 1240545135143. The next prime is 1240545135163. The reversal of 1240545135144 is 4415315450421.

It is a super-3 number, since 3×1240545135144³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1240545135143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13585512 + ... + 13676520.

It is an arithmetic number, because the mean of its divisors is an integer number (19181040075).

Almost surely, 2^{1240545135144} is an apocalyptic number.

1240545135144 is a gapful number since it is divisible by the number (14) 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 1240545135144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841379847200).

1240545135144 is an abundant number, since it is smaller than the sum of its proper divisors (2442214559256).

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

1240545135144 is a wasteful number, since it uses less digits than its factorization.

1240545135144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91272 (or 91261 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 1240545135144 in words is "one trillion, two hundred forty billion, five hundred forty-five million, one hundred thirty-five thousand, one hundred forty-four".