145039840 has 96 divisors (see below), whose sum is σ = 390168576. Its totient is φ = 50434560.

The previous prime is 145039819. The next prime is 145039841. The reversal of 145039840 is 48930541.

It is a junction number, because it is equal to n+sod(n) for n = 145039796 and 145039805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145039841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38689 + ... + 42271.

It is an arithmetic number, because the mean of its divisors is an integer number (4064256).

Almost surely, 2^145039840 is an apocalyptic number.

145039840 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 145039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195084288).

145039840 is an abundant number, since it is smaller than the sum of its proper divisors (245128736).

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

145039840 is a wasteful number, since it uses less digits than its factorization.

145039840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 145039840 is about 12043.2487311356. The cubic root of 145039840 is about 525.4068984618.

The spelling of 145039840 in words is "one hundred forty-five million, thirty-nine thousand, eight hundred forty".