145887320 has 48 divisors (see below), whose sum is σ = 346466160. Its totient is φ = 55278144.

The previous prime is 145887283. The next prime is 145887397. The reversal of 145887320 is 23788541.

It is a super-2 number, since 2×145887320² = 42566220273564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9389 + ... + 19491.

It is an arithmetic number, because the mean of its divisors is an integer number (7218045).

Almost surely, 2^145887320 is an apocalyptic number.

145887320 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 145887320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173233080).

145887320 is an abundant number, since it is smaller than the sum of its proper divisors (200578840).

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

145887320 is a wasteful number, since it uses less digits than its factorization.

145887320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 145887320 is about 12078.3823420191. The cubic root of 145887320 is about 526.4282440200.

The spelling of 145887320 in words is "one hundred forty-five million, eight hundred eighty-seven thousand, three hundred twenty".