145437327360 has 768 divisors, whose sum is σ = 565071081120. Its totient is φ = 35672555520.

The previous prime is 145437327319. The next prime is 145437327379. The reversal of 145437327360 is 63723734541.

145437327360 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 373 + 273 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 517570420 + ... + 517570700.

Almost surely, 2^145437327360 is an apocalyptic number.

145437327360 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 145437327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282535540560).

145437327360 is an abundant number, since it is smaller than the sum of its proper divisors (419633753760).

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

145437327360 is an frugal number, since it uses more digits than its factorization.

145437327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 145437327360 in words is "one hundred forty-five billion, four hundred thirty-seven million, three hundred twenty-seven thousand, three hundred sixty".