145310640 has 80 divisors (see below), whose sum is σ = 465017856. Its totient is φ = 37497600.

The previous prime is 145310629. The next prime is 145310647. The reversal of 145310640 is 46013541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×145310640² = 42230364194419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145310640.

It is not an unprimeable number, because it can be changed into a prime (145310647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2326 + ... + 17205.

Almost surely, 2^145310640 is an apocalyptic number.

145310640 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 145310640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232508928).

145310640 is an abundant number, since it is smaller than the sum of its proper divisors (319707216).

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

145310640 is a wasteful number, since it uses less digits than its factorization.

145310640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19578 (or 19572 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 145310640 is about 12054.4863017882. The cubic root of 145310640 is about 525.7336862158.

The spelling of 145310640 in words is "one hundred forty-five million, three hundred ten thousand, six hundred forty".