153990 has 48 divisors (see below), whose sum is σ = 421200. Its totient is φ = 38976.

The previous prime is 153953. The next prime is 153991. The reversal of 153990 is 99351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581 + ... + 2639.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2¹⁵³⁹⁹⁰ is an apocalyptic number.

153990 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 153990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210600).

153990 is an abundant number, since it is smaller than the sum of its proper divisors (267210).

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

153990 is a wasteful number, since it uses less digits than its factorization.

153990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 153990 is about 392.4155960203. The cubic root of 153990 is about 53.5999238879.

It can be divided in two parts, 15 and 3990, that added together give a triangular number (4005 = T₈₉).

The spelling of 153990 in words is "one hundred fifty-three thousand, nine hundred ninety".