242136864 has 72 divisors (see below), whose sum is σ = 714102480. Its totient is φ = 80709696.

The previous prime is 242136821. The next prime is 242136883. The reversal of 242136864 is 468631242.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7794 + ... + 23345.

It is an arithmetic number, because the mean of its divisors is an integer number (9918090).

Almost surely, 2^242136864 is an apocalyptic number.

242136864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242136864 is an abundant number, since it is smaller than the sum of its proper divisors (471965616).

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

242136864 is an equidigital number, since it uses as much as digits as its factorization.

242136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31164 (or 31144 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 242136864 is about 15560.7475398838. The cubic root of 242136864 is about 623.2854246179.

The spelling of 242136864 in words is "two hundred forty-two million, one hundred thirty-six thousand, eight hundred sixty-four".