144992400 has 240 divisors, whose sum is σ = 545048448. Its totient is φ = 32256000.

The previous prime is 144992389. The next prime is 144992411. The reversal of 144992400 is 4299441.

It is an interprime number because it is at equal distance from previous prime (144992389) and next prime (144992411).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344190 + ... + 344610.

Almost surely, 2^144992400 is an apocalyptic number.

144992400 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 144992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272524224).

144992400 is an abundant number, since it is smaller than the sum of its proper divisors (400056048).

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

144992400 is a wasteful number, since it uses less digits than its factorization.

144992400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 144992400 is about 12041.2790018337. The cubic root of 144992400 is about 525.3496084067.

The spelling of 144992400 in words is "one hundred forty-four million, nine hundred ninety-two thousand, four hundred".