153380 has 12 divisors (see below), whose sum is σ = 322140. Its totient is φ = 61344.

The previous prime is 153379. The next prime is 153407. The reversal of 153380 is 83351.

153380 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 45796 = 328^2 + 214^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 7669 = 153380 / (1 + 5 + 3 + 3 + 8 + 0).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153380.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3815 + ... + 3854.

It is an arithmetic number, because the mean of its divisors is an integer number (26845).

2¹⁵³³⁸⁰ is an apocalyptic number.

153380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153380 is an abundant number, since it is smaller than the sum of its proper divisors (168760).

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

153380 is a wasteful number, since it uses less digits than its factorization.

153380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 153380 is about 391.6375875730. The cubic root of 153380 is about 53.5290551700.

The spelling of 153380 in words is "one hundred fifty-three thousand, three hundred eighty".