145496040 has 64 divisors (see below), whose sum is σ = 442661760. Its totient is φ = 38250240.

The previous prime is 145496011. The next prime is 145496069. The reversal of 145496040 is 40694541.

It is an interprime number because it is at equal distance from previous prime (145496011) and next prime (145496069).

It is a junction number, because it is equal to n+sod(n) for n = 145495992 and 145496010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19 + ... + 17058.

It is an arithmetic number, because the mean of its divisors is an integer number (6916590).

Almost surely, 2^145496040 is an apocalyptic number.

145496040 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 145496040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221330880).

145496040 is an abundant number, since it is smaller than the sum of its proper divisors (297165720).

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

145496040 is a wasteful number, since it uses less digits than its factorization.

145496040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17162 (or 17158 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 145496040 is about 12062.1739334168. The cubic root of 145496040 is about 525.9571835013.

The spelling of 145496040 in words is "one hundred forty-five million, four hundred ninety-six thousand, forty".