242137129248 has 384 divisors, whose sum is σ = 866335357440. Its totient is φ = 64218562560.

The previous prime is 242137129243. The next prime is 242137129259. The reversal of 242137129248 is 842921731242.

242137129248 is a `hidden beast` number, since 242 + 13 + 71 + 292 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242137129243) 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, 7489438 + ... + 7521698.

It is an arithmetic number, because the mean of its divisors is an integer number (2256081660).

Almost surely, 2^242137129248 is an apocalyptic number.

242137129248 is a gapful number since it is divisible by the number (28) 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 242137129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433167678720).

242137129248 is an abundant number, since it is smaller than the sum of its proper divisors (624198228192).

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

242137129248 is a wasteful number, since it uses less digits than its factorization.

242137129248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32377 (or 32363 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 242137129248 in words is "two hundred forty-two billion, one hundred thirty-seven million, one hundred twenty-nine thousand, two hundred forty-eight".