151590 has 32 divisors (see below), whose sum is σ = 377856. Its totient is φ = 38880.

The previous prime is 151579. The next prime is 151597. The reversal of 151590 is 95151.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (11808).

2¹⁵¹⁵⁹⁰ is an apocalyptic number.

151590 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 151590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188928).

151590 is an abundant number, since it is smaller than the sum of its proper divisors (226266).

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

151590 is a wasteful number, since it uses less digits than its factorization.

151590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 225, while the sum is 21.

The square root of 151590 is about 389.3456048294. The cubic root of 151590 is about 53.3200053502.

It can be divided in two parts, 151 and 590, that added together give a triangular number (741 = T₃₈).

The spelling of 151590 in words is "one hundred fifty-one thousand, five hundred ninety".