145755360 has 144 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 38513664.

The previous prime is 145755349. The next prime is 145755367. The reversal of 145755360 is 63557541.

145755360 is a `hidden beast` number, since 1 + 45 + 7 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145755367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182482 + ... + 183278.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2^145755360 is an apocalyptic number.

145755360 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 145755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

145755360 is an abundant number, since it is smaller than the sum of its proper divisors (356180256).

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

145755360 is a wasteful number, since it uses less digits than its factorization.

145755360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 145755360 is about 12072.9184541270. The cubic root of 145755360 is about 526.2694721065.

The spelling of 145755360 in words is "one hundred forty-five million, seven hundred fifty-five thousand, three hundred sixty".