145503680 has 112 divisors (see below), whose sum is σ = 419380416. Its totient is φ = 46940160.

The previous prime is 145503667. The next prime is 145503703. The reversal of 145503680 is 86305541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 36170 + ... + 39990.

It is an arithmetic number, because the mean of its divisors is an integer number (3744468).

Almost surely, 2^145503680 is an apocalyptic number.

145503680 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 145503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

145503680 is an abundant number, since it is smaller than the sum of its proper divisors (273876736).

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

145503680 is a wasteful number, since it uses less digits than its factorization.

145503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 145503680 is about 12062.4906217580. The cubic root of 145503680 is about 525.9663893476.

The spelling of 145503680 in words is "one hundred forty-five million, five hundred three thousand, six hundred eighty".