145165440 has 192 divisors, whose sum is σ = 538608960. Its totient is φ = 33159168.

The previous prime is 145165417. The next prime is 145165441. The reversal of 145165440 is 44561541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 145165398 and 145165407.

It is not an unprimeable number, because it can be changed into a prime (145165441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93309 + ... + 94851.

It is an arithmetic number, because the mean of its divisors is an integer number (2805255).

Almost surely, 2^145165440 is an apocalyptic number.

145165440 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 145165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269304480).

145165440 is an abundant number, since it is smaller than the sum of its proper divisors (393443520).

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

145165440 is a wasteful number, since it uses less digits than its factorization.

145165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 145165440 is about 12048.4621425309. The cubic root of 145165440 is about 525.5585167272.

The spelling of 145165440 in words is "one hundred forty-five million, one hundred sixty-five thousand, four hundred forty".