153090 has 64 divisors (see below), whose sum is σ = 472320. Its totient is φ = 34992.

The previous prime is 153089. The next prime is 153107. The reversal of 153090 is 90351.

153090 = 60² + 61² + ... + 87².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153090.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21867 + ... + 21873.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

2¹⁵³⁰⁹⁰ is an apocalyptic number.

153090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236160).

153090 is an abundant number, since it is smaller than the sum of its proper divisors (319230).

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

153090 is an frugal number, since it uses more digits than its factorization.

153090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 153090 is about 391.2671721471. The cubic root of 153090 is about 53.4952975749.

The spelling of 153090 in words is "one hundred fifty-three thousand, ninety".