145215360 has 192 divisors, whose sum is σ = 531301680. Its totient is φ = 36421632.

The previous prime is 145215349. The next prime is 145215391. The reversal of 145215360 is 63512541.

145215360 is a `hidden beast` number, since 1 + 452 + 153 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97179 + ... + 98661.

Almost surely, 2^145215360 is an apocalyptic number.

145215360 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 145215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265650840).

145215360 is an abundant number, since it is smaller than the sum of its proper divisors (386086320).

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

145215360 is a wasteful number, since it uses less digits than its factorization.

145215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145215360 is about 12050.5335981441. The cubic root of 145215360 is about 525.6187534575.

It can be divided in two parts, 14521 and 5360, that added together give a square (19881 = 141²).

The spelling of 145215360 in words is "one hundred forty-five million, two hundred fifteen thousand, three hundred sixty".