145395360 has 288 divisors, whose sum is σ = 553355712. Its totient is φ = 34467840.

The previous prime is 145395343. The next prime is 145395379. The reversal of 145395360 is 63593541.

145395360 is a `hidden beast` number, since 14 + 539 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145395360² = 42279621419059200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1061212 + ... + 1061348.

It is an arithmetic number, because the mean of its divisors is an integer number (1921374).

Almost surely, 2^145395360 is an apocalyptic number.

145395360 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 145395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276677856).

145395360 is an abundant number, since it is smaller than the sum of its proper divisors (407960352).

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

145395360 is a wasteful number, since it uses less digits than its factorization.

145395360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 145395360 is about 12057.9998341350. Note that the first 3 decimals coincide. The cubic root of 145395360 is about 525.8358386452.

The spelling of 145395360 in words is "one hundred forty-five million, three hundred ninety-five thousand, three hundred sixty".