242154132632152 has 128 divisors (see below), whose sum is σ = 510805346688000. Its totient is φ = 106782510067200.

The previous prime is 242154132632131. The next prime is 242154132632177. The reversal of 242154132632152 is 251236231451242.

It is a super-2 number, since 2×242154132632152² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242154132632099 and 242154132632108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9941041749 + ... + 9941066107.

It is an arithmetic number, because the mean of its divisors is an integer number (3990666771000).

Almost surely, 2^{242154132632152} 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 242154132632152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255402673344000).

242154132632152 is an abundant number, since it is smaller than the sum of its proper divisors (268651214055848).

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

242154132632152 is a wasteful number, since it uses less digits than its factorization.

242154132632152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28961 (or 28957 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 242154132632152 in words is "two hundred forty-two trillion, one hundred fifty-four billion, one hundred thirty-two million, six hundred thirty-two thousand, one hundred fifty-two".