162140040 has 96 divisors (see below), whose sum is σ = 529490520. Its totient is φ = 43029504.

The previous prime is 162140029. The next prime is 162140093. The reversal of 162140040 is 40041261.

162140040 is a `hidden beast` number, since 1 + 621 + 4 + 0 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120692196 + 41447844 = 10986^2 + 6438^2 .

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 = 162139995 and 162140022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82914 + ... + 84846.

Almost surely, 2^162140040 is an apocalyptic number.

162140040 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 162140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264745260).

162140040 is an abundant number, since it is smaller than the sum of its proper divisors (367350480).

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

162140040 is a wasteful number, since it uses less digits than its factorization.

162140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 162140040 is about 12733.4221637390. The cubic root of 162140040 is about 545.2932125892.

The spelling of 162140040 in words is "one hundred sixty-two million, one hundred forty thousand, forty".