144552038400 has 1872 divisors, whose sum is σ = 680833298880. Its totient is φ = 29727129600.

The previous prime is 144552038369. The next prime is 144552038419. The reversal of 144552038400 is 4830255441.

It is a happy number.

144552038400 is a `hidden beast` number, since 1 + 4 + 45 + 5 + 203 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1490227152 + ... + 1490227248.

Almost surely, 2^144552038400 is an apocalyptic number.

144552038400 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 144552038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340416649440).

144552038400 is an abundant number, since it is smaller than the sum of its proper divisors (536281260480).

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

144552038400 is a wasteful number, since it uses less digits than its factorization.

144552038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 144552038400 in words is "one hundred forty-four billion, five hundred fifty-two million, thirty-eight thousand, four hundred".