145536720 has 80 divisors (see below), whose sum is σ = 515621760. Its totient is φ = 33265152.

The previous prime is 145536719. The next prime is 145536733. The reversal of 145536720 is 27635541.

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

It is a congruent number.

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, 41635 + ... + 44994.

It is an arithmetic number, because the mean of its divisors is an integer number (6445272).

Almost surely, 2^145536720 is an apocalyptic number.

145536720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145536720 is an abundant number, since it is smaller than the sum of its proper divisors (370085040).

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

145536720 is a wasteful number, since it uses less digits than its factorization.

145536720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86652 (or 86646 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 145536720 is about 12063.8600787642. The cubic root of 145536720 is about 526.0061973083.

The spelling of 145536720 in words is "one hundred forty-five million, five hundred thirty-six thousand, seven hundred twenty".