145345440 has 96 divisors (see below), whose sum is σ = 481965120. Its totient is φ = 36716544.

The previous prime is 145345439. The next prime is 145345457. The reversal of 145345440 is 44543541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145345440² = 42250593857587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145345398 and 145345407.

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, 1152 + ... + 17088.

It is an arithmetic number, because the mean of its divisors is an integer number (5020470).

Almost surely, 2^145345440 is an apocalyptic number.

145345440 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 145345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240982560).

145345440 is an abundant number, since it is smaller than the sum of its proper divisors (336619680).

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

145345440 is a wasteful number, since it uses less digits than its factorization.

145345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15974 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 145345440 is about 12055.9296613741. The cubic root of 145345440 is about 525.7756516492.

Adding to 145345440 its reverse (44543541), we get a palindrome (189888981).

The spelling of 145345440 in words is "one hundred forty-five million, three hundred forty-five thousand, four hundred forty".