144254812088100 has 216 divisors, whose sum is σ = 501182434437888. Its totient is φ = 31908898425600.

The previous prime is 144254812088063. The next prime is 144254812088129. The reversal of 144254812088100 is 1880218452441.

It is a super-2 number, since 2×144254812088100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144254812088100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157822567 + ... + 158733966.

Almost surely, 2^{144254812088100} is an apocalyptic number.

144254812088100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144254812088100 is an abundant number, since it is smaller than the sum of its proper divisors (356927622349788).

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

144254812088100 is a wasteful number, since it uses less digits than its factorization.

144254812088100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316556595 (or 316556581 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 48.

The spelling of 144254812088100 in words is "one hundred forty-four trillion, two hundred fifty-four billion, eight hundred twelve million, eighty-eight thousand, one hundred".