145635840 has 480 divisors, whose sum is σ = 615764160. Its totient is φ = 32514048.

The previous prime is 145635827. The next prime is 145635859. The reversal of 145635840 is 48536541.

It is a happy number.

145635840 is a `hidden beast` number, since 1 + 4 + 563 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145635795 and 145635804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386859 + ... + 3386901.

It is an arithmetic number, because the mean of its divisors is an integer number (1282842).

Almost surely, 2^145635840 is an apocalyptic number.

145635840 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 145635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307882080).

145635840 is an abundant number, since it is smaller than the sum of its proper divisors (470128320).

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

145635840 is an equidigital number, since it uses as much as digits as its factorization.

145635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 145635840 is about 12067.9675173577. The cubic root of 145635840 is about 526.1255850531.

The spelling of 145635840 in words is "one hundred forty-five million, six hundred thirty-five thousand, eight hundred forty".