153401024000 has 160 divisors (see below), whose sum is σ = 437161323456. Its totient is φ = 52594483200.

The previous prime is 153401023921. The next prime is 153401024039. The reversal of 153401024000 is 420104351.

153401024000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276794 + ... + 619206.

Almost surely, 2^153401024000 is an apocalyptic number.

153401024000 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 153401024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218580661728).

153401024000 is an abundant number, since it is smaller than the sum of its proper divisors (283760299456).

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

153401024000 is an frugal number, since it uses more digits than its factorization.

153401024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342453 (or 342427 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 153401024000 its reverse (420104351), we get a palindrome (153821128351).

The spelling of 153401024000 in words is "one hundred fifty-three billion, four hundred one million, twenty-four thousand".