242937187136 has 448 divisors, whose sum is σ = 632033280000. Its totient is φ = 90272931840.

The previous prime is 242937187121. The next prime is 242937187139. The reversal of 242937187136 is 631781739242.

242937187136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242937187139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405570965 + ... + 405571563.

Almost surely, 2^242937187136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242937187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316016640000).

242937187136 is an abundant number, since it is smaller than the sum of its proper divisors (389096092864).

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

242937187136 is a wasteful number, since it uses less digits than its factorization.

242937187136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 53.

The spelling of 242937187136 in words is "two hundred forty-two billion, nine hundred thirty-seven million, one hundred eighty-seven thousand, one hundred thirty-six".