145381320 has 192 divisors, whose sum is σ = 557706240. Its totient is φ = 32140800.

The previous prime is 145381309. The next prime is 145381339. The reversal of 145381320 is 23183541.

It is a happy number.

It is a super-2 number, since 2×145381320² = 42271456409884800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 77190 + ... + 79050.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^145381320 is an apocalyptic number.

145381320 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 145381320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278853120).

145381320 is an abundant number, since it is smaller than the sum of its proper divisors (412324920).

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

145381320 is a wasteful number, since it uses less digits than its factorization.

145381320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145381320 is about 12057.4176339712. The cubic root of 145381320 is about 525.8189124452.

The spelling of 145381320 in words is "one hundred forty-five million, three hundred eighty-one thousand, three hundred twenty".