144156000536000 has 224 divisors, whose sum is σ = 357801813817344. Its totient is φ = 57533414400000.

The previous prime is 144156000535999. The next prime is 144156000536059. The reversal of 144156000536000 is 635000651441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6970445660 + ... + 6970466340.

Almost surely, 2^{144156000536000} is an apocalyptic number.

144156000536000 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 144156000536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178900906908672).

144156000536000 is an abundant number, since it is smaller than the sum of its proper divisors (213645813281344).

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

144156000536000 is a wasteful number, since it uses less digits than its factorization.

144156000536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22616 (or 22596 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 144156000536000 in words is "one hundred forty-four trillion, one hundred fifty-six billion, five hundred thirty-six thousand".