145819440 has 240 divisors, whose sum is σ = 547860768. Its totient is φ = 35831808.

The previous prime is 145819423. The next prime is 145819441. The reversal of 145819440 is 44918541.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 145819395 and 145819404.

It is not an unprimeable number, because it can be changed into a prime (145819441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252432 + ... + 253008.

Almost surely, 2^145819440 is an apocalyptic number.

145819440 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 145819440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273930384).

145819440 is an abundant number, since it is smaller than the sum of its proper divisors (402041328).

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

145819440 is a wasteful number, since it uses less digits than its factorization.

145819440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145819440 is about 12075.5720361397. The cubic root of 145819440 is about 526.3465839806.

The spelling of 145819440 in words is "one hundred forty-five million, eight hundred nineteen thousand, four hundred forty".