157320 has 96 divisors (see below), whose sum is σ = 561600. Its totient is φ = 38016.

The previous prime is 157307. The next prime is 157321. The reversal of 157320 is 23751.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 157293 and 157302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157321) 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 23 ways as a sum of consecutive naturals, for example, 6829 + ... + 6851.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2¹⁵⁷³²⁰ is an apocalyptic number.

157320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800).

157320 is an abundant number, since it is smaller than the sum of its proper divisors (404280).

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

157320 is a wasteful number, since it uses less digits than its factorization.

157320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 157320 is about 396.6358531449. The cubic root of 157320 is about 53.9835340743.

The spelling of 157320 in words is "one hundred fifty-seven thousand, three hundred twenty".