162361152 has 112 divisors (see below), whose sum is σ = 505480320. Its totient is φ = 50927616.

The previous prime is 162361141. The next prime is 162361159. The reversal of 162361152 is 251163261.

162361152 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162361152² = 52722287357534208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162361159) 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, 26613 + ... + 32139.

Almost surely, 2^162361152 is an apocalyptic number.

162361152 is a gapful number since it is divisible by the number (12) 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 162361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252740160).

162361152 is an abundant number, since it is smaller than the sum of its proper divisors (343119168).

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

162361152 is a wasteful number, since it uses less digits than its factorization.

162361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5549 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 162361152 is about 12742.1015535115. The cubic root of 162361152 is about 545.5409739409.

The spelling of 162361152 in words is "one hundred sixty-two million, three hundred sixty-one thousand, one hundred fifty-two".