153008064000 has 1920 divisors, whose sum is σ = 669197168640. Its totient is φ = 33177600000.

The previous prime is 153008063947. The next prime is 153008064007. The reversal of 153008064000 is 460800351.

153008064000 is a `hidden beast` number, since 15 + 3 + 0 + 0 + 8 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×153008064000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153008064007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3731903980 + ... + 3731904020.

It is an arithmetic number, because the mean of its divisors is an integer number (348540192).

Almost surely, 2^153008064000 is an apocalyptic number.

153008064000 is a gapful number since it is divisible by the number (10) 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 153008064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334598584320).

153008064000 is an abundant number, since it is smaller than the sum of its proper divisors (516189104640).

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

153008064000 is a wasteful number, since it uses less digits than its factorization.

153008064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 153008064000 its reverse (460800351), we get a palindrome (153468864351).

The spelling of 153008064000 in words is "one hundred fifty-three billion, eight million, sixty-four thousand".