215140154144000 has 144 divisors (see below), whose sum is σ = 536284913149440. Its totient is φ = 86000842188800.

The previous prime is 215140154143919. The next prime is 215140154144029. The reversal of 215140154144000 is 441451041512.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47731769 + ... + 52044231.

It is an arithmetic number, because the mean of its divisors is an integer number (3724200785760).

Almost surely, 2^{215140154144000} is an apocalyptic number.

215140154144000 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 215140154144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268142456574720).

215140154144000 is an abundant number, since it is smaller than the sum of its proper divisors (321144759005440).

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

215140154144000 is an equidigital number, since it uses as much as digits as its factorization.

215140154144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314053 (or 4314029 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The spelling of 215140154144000 in words is "two hundred fifteen trillion, one hundred forty billion, one hundred fifty-four million, one hundred forty-four thousand".