145967360 has 144 divisors (see below), whose sum is σ = 436205952. Its totient is φ = 45465600.

The previous prime is 145967333. The next prime is 145967401. The reversal of 145967360 is 63769541.

It is a super-3 number, since 3×145967360³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97820 + ... + 99300.

It is an arithmetic number, because the mean of its divisors is an integer number (3029208).

Almost surely, 2^145967360 is an apocalyptic number.

145967360 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 145967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218102976).

145967360 is an abundant number, since it is smaller than the sum of its proper divisors (290238592).

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

145967360 is a wasteful number, since it uses less digits than its factorization.

145967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 145967360 is about 12081.6952452874. The cubic root of 145967360 is about 526.5245000740.

The spelling of 145967360 in words is "one hundred forty-five million, nine hundred sixty-seven thousand, three hundred sixty".