162101520 has 320 divisors, whose sum is σ = 651386880. Its totient is φ = 36288000.

The previous prime is 162101431. The next prime is 162101549. The reversal of 162101520 is 25101261.

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

It is a junction number, because it is equal to n+sod(n) for n = 162101493 and 162101502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073445 + ... + 1073595.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2^162101520 is an apocalyptic number.

162101520 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 162101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325693440).

162101520 is an abundant number, since it is smaller than the sum of its proper divisors (489285360).

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

162101520 is a wasteful number, since it uses less digits than its factorization.

162101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 162101520 is about 12731.9095189999. The cubic root of 162101520 is about 545.2500269616.

Adding to 162101520 its reverse (25101261), we get a palindrome (187202781).

The spelling of 162101520 in words is "one hundred sixty-two million, one hundred one thousand, five hundred twenty".