145552160 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 48771072.

The previous prime is 145552157. The next prime is 145552163. The reversal of 145552160 is 61255541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145552157) and next prime (145552163).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (145552163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146017 + ... + 1146143.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^145552160 is an apocalyptic number.

145552160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 12064×12065.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

145552160 is an abundant number, since it is smaller than the sum of its proper divisors (260873440).

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

145552160 is a wasteful number, since it uses less digits than its factorization.

145552160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 145552160 is about 12064.4999896390. The cubic root of 145552160 is about 526.0247979943.

The spelling of 145552160 in words is "one hundred forty-five million, five hundred fifty-two thousand, one hundred sixty".