145521360 has 200 divisors, whose sum is σ = 535552776. Its totient is φ = 36495360.

The previous prime is 145521307. The next prime is 145521371. The reversal of 145521360 is 63125541.

It can be written as a sum of positive squares in 4 ways, for example, as 63872064 + 81649296 = 7992^2 + 9036^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 109500 + ... + 110820.

Almost surely, 2^145521360 is an apocalyptic number.

145521360 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 145521360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267776388).

145521360 is an abundant number, since it is smaller than the sum of its proper divisors (390031416).

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

145521360 is a wasteful number, since it uses less digits than its factorization.

145521360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1348 counting only the distinct ones).

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

The square root of 145521360 is about 12063.2234498081. The cubic root of 145521360 is about 525.9876916935.

The spelling of 145521360 in words is "one hundred forty-five million, five hundred twenty-one thousand, three hundred sixty".