20140152000 has 448 divisors, whose sum is σ = 72464371200. Its totient is φ = 4909363200.

The previous prime is 20140151987. The next prime is 20140152041. The reversal of 20140152000 is 25104102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13223239 + ... + 13224761.

Almost surely, 2^20140152000 is an apocalyptic number.

20140152000 is a gapful number since it is divisible by the number (20) 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 20140152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36232185600).

20140152000 is an abundant number, since it is smaller than the sum of its proper divisors (52324219200).

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

20140152000 is a wasteful number, since it uses less digits than its factorization.

20140152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 20140152000 its reverse (25104102), we get a palindrome (20165256102).

The spelling of 20140152000 in words is "twenty billion, one hundred forty million, one hundred fifty-two thousand".