145289894400 has 720 divisors, whose sum is σ = 616332260544. Its totient is φ = 33204142080.

The previous prime is 145289894383. The next prime is 145289894441. The reversal of 145289894400 is 4498982541.

It is a happy number.

145289894400 is a `hidden beast` number, since 1 + 45 + 2 + 89 + 89 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×145289894400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 21769464 + ... + 21776136.

Almost surely, 2^145289894400 is an apocalyptic number.

145289894400 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 145289894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308166130272).

145289894400 is an abundant number, since it is smaller than the sum of its proper divisors (471042366144).

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

145289894400 is an frugal number, since it uses more digits than its factorization.

145289894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 145289894400 in words is "one hundred forty-five billion, two hundred eighty-nine million, eight hundred ninety-four thousand, four hundred".