157890 has 32 divisors (see below), whose sum is σ = 400320. Its totient is φ = 39744.

The previous prime is 157889. The next prime is 157897. The reversal of 157890 is 98751.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (12510).

2¹⁵⁷⁸⁹⁰ is an apocalyptic number.

157890 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 157890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200160).

157890 is an abundant number, since it is smaller than the sum of its proper divisors (242430).

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

157890 is a wasteful number, since it uses less digits than its factorization.

157890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 157890 is about 397.3537466792. The cubic root of 157890 is about 54.0486529964.

The spelling of 157890 in words is "one hundred fifty-seven thousand, eight hundred ninety".