145288840 has 64 divisors (see below), whose sum is σ = 340200000. Its totient is φ = 55776000.

The previous prime is 145288823. The next prime is 145288867. The reversal of 145288840 is 48882541.

It is a super-3 number, since 3×145288840³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 145288793 and 145288802.

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, 290911 + ... + 291409.

It is an arithmetic number, because the mean of its divisors is an integer number (5315625).

Almost surely, 2^145288840 is an apocalyptic number.

145288840 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 145288840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170100000).

145288840 is an abundant number, since it is smaller than the sum of its proper divisors (194911160).

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

145288840 is a wasteful number, since it uses less digits than its factorization.

145288840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 145288840 is about 12053.5820402070. The cubic root of 145288840 is about 525.7073941114.

The spelling of 145288840 in words is "one hundred forty-five million, two hundred eighty-eight thousand, eight hundred forty".