144134410133400 has 288 divisors, whose sum is σ = 461969434563840. Its totient is φ = 37173066416640.

The previous prime is 144134410133383. The next prime is 144134410133447. The reversal of 144134410133400 is 4331014431441.

It is a congruent number.

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, 136648429 + ... + 137699171.

It is an arithmetic number, because the mean of its divisors is an integer number (1604060536680).

Almost surely, 2^{144134410133400} is an apocalyptic number.

144134410133400 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 144134410133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230984717281920).

144134410133400 is an abundant number, since it is smaller than the sum of its proper divisors (317835024430440).

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

144134410133400 is a wasteful number, since it uses less digits than its factorization.

144134410133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051003 (or 1050957 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 144134410133400 its reverse (4331014431441), we get a palindrome (148465424564841).

The spelling of 144134410133400 in words is "one hundred forty-four trillion, one hundred thirty-four billion, four hundred ten million, one hundred thirty-three thousand, four hundred".