145575360 has 448 divisors, whose sum is σ = 614476800. Its totient is φ = 31739904.

The previous prime is 145575343. The next prime is 145575373. The reversal of 145575360 is 63575541.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1753879 + ... + 1753961.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^145575360 is an apocalyptic number.

145575360 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 145575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307238400).

145575360 is an abundant number, since it is smaller than the sum of its proper divisors (468901440).

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

145575360 is a wasteful number, since it uses less digits than its factorization.

145575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

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

The square root of 145575360 is about 12065.4614499405. The cubic root of 145575360 is about 526.0527447385.

The spelling of 145575360 in words is "one hundred forty-five million, five hundred seventy-five thousand, three hundred sixty".