153305743968 has 144 divisors (see below), whose sum is σ = 469990606176. Its totient is φ = 47121592320.

The previous prime is 153305743951. The next prime is 153305744003. The reversal of 153305743968 is 869347503351.

153305743968 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 0 + 574 + 3 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×153305743968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3636933 + ... + 3678843.

It is an arithmetic number, because the mean of its divisors is an integer number (3263823654).

Almost surely, 2^153305743968 is an apocalyptic number.

153305743968 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 153305743968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234995303088).

153305743968 is an abundant number, since it is smaller than the sum of its proper divisors (316684862208).

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

153305743968 is a wasteful number, since it uses less digits than its factorization.

153305743968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42917 (or 42906 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 153305743968 in words is "one hundred fifty-three billion, three hundred five million, seven hundred forty-three thousand, nine hundred sixty-eight".