240760135000 has 160 divisors (see below), whose sum is σ = 703295873280. Its totient is φ = 75042000000.

The previous prime is 240760134991. The next prime is 240760135019. The reversal of 240760135000 is 531067042.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 240760135000.

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 39 ways as a sum of consecutive naturals, for example, 72325 + ... + 697675.

It is an arithmetic number, because the mean of its divisors is an integer number (4395599208).

Almost surely, 2^240760135000 is an apocalyptic number.

240760135000 is a gapful number since it is divisible by the number (20) 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 240760135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351647936640).

240760135000 is an abundant number, since it is smaller than the sum of its proper divisors (462535738280).

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

240760135000 is a wasteful number, since it uses less digits than its factorization.

240760135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625395 (or 625376 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 240760135000 in words is "two hundred forty billion, seven hundred sixty million, one hundred thirty-five thousand".