153744887268 has 480 divisors, whose sum is σ = 513007165440. Its totient is φ = 39137852160.

The previous prime is 153744887243. The next prime is 153744887279. The reversal of 153744887268 is 862788447351.

It is a happy number.

153744887268 is a `hidden beast` number, since 1 + 53 + 7 + 448 + 87 + 2 + 68 = 666.

It is a super-2 number, since 2×153744887268² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60456805 + ... + 60459347.

It is an arithmetic number, because the mean of its divisors is an integer number (1068764928).

Almost surely, 2^153744887268 is an apocalyptic number.

153744887268 is a gapful number since it is divisible by the number (18) 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 153744887268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256503582720).

153744887268 is an abundant number, since it is smaller than the sum of its proper divisors (359262278172).

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

153744887268 is a wasteful number, since it uses less digits than its factorization.

153744887268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2658 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 153744887268 in words is "one hundred fifty-three billion, seven hundred forty-four million, eight hundred eighty-seven thousand, two hundred sixty-eight".