145733280 has 192 divisors, whose sum is σ = 572479488. Its totient is φ = 30274560.

The previous prime is 145733279. The next prime is 145733281. The reversal of 145733280 is 82337541.

145733280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145733279) and next prime (145733281).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (145733281) 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, 34989 + ... + 38931.

It is an arithmetic number, because the mean of its divisors is an integer number (2981664).

Almost surely, 2^145733280 is an apocalyptic number.

145733280 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 145733280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286239744).

145733280 is an abundant number, since it is smaller than the sum of its proper divisors (426746208).

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

145733280 is a wasteful number, since it uses less digits than its factorization.

145733280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 145733280 is about 12072.0039761425. The cubic root of 145733280 is about 526.2428964875.

The spelling of 145733280 in words is "one hundred forty-five million, seven hundred thirty-three thousand, two hundred eighty".