145164720 has 80 divisors (see below), whose sum is σ = 465550560. Its totient is φ = 37373952.

The previous prime is 145164713. The next prime is 145164737. The reversal of 145164720 is 27461541.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3469 + ... + 17388.

It is an arithmetic number, because the mean of its divisors is an integer number (5819382).

Almost surely, 2^145164720 is an apocalyptic number.

145164720 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 145164720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232775280).

145164720 is an abundant number, since it is smaller than the sum of its proper divisors (320385840).

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

145164720 is a wasteful number, since it uses less digits than its factorization.

145164720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20902 (or 20896 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 145164720 is about 12048.4322631619. The cubic root of 145164720 is about 525.5576478272.

The spelling of 145164720 in words is "one hundred forty-five million, one hundred sixty-four thousand, seven hundred twenty".