145622160 has 120 divisors (see below), whose sum is σ = 501077304. Its totient is φ = 37877760.

The previous prime is 145622149. The next prime is 145622171. The reversal of 145622160 is 61226541.

It is an interprime number because it is at equal distance from previous prime (145622149) and next prime (145622171).

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 145154304 = 684^2 + 12048^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27054 + ... + 31986.

Almost surely, 2^145622160 is an apocalyptic number.

145622160 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 145622160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250538652).

145622160 is an abundant number, since it is smaller than the sum of its proper divisors (355455144).

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

145622160 is a wasteful number, since it uses less digits than its factorization.

145622160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145622160 is about 12067.4007143212. The cubic root of 145622160 is about 526.1091110327.

The spelling of 145622160 in words is "one hundred forty-five million, six hundred twenty-two thousand, one hundred sixty".