152190 has 48 divisors (see below), whose sum is σ = 421200. Its totient is φ = 38016.

The previous prime is 152189. The next prime is 152197. The reversal of 152190 is 91251.

It is a super-2 number, since 2×152190² = 46323592200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152197) 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, 1666 + ... + 1754.

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

2¹⁵²¹⁹⁰ is an apocalyptic number.

152190 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 152190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210600).

152190 is an abundant number, since it is smaller than the sum of its proper divisors (269010).

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

152190 is a wasteful number, since it uses less digits than its factorization.

152190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 152190 is about 390.1153675517. The cubic root of 152190 is about 53.3902603960.

Subtracting from 152190 its product of nonzero digits (90), we obtain a square (152100 = 390²).

The spelling of 152190 in words is "one hundred fifty-two thousand, one hundred ninety".