162513540 has 288 divisors, whose sum is σ = 620815104. Its totient is φ = 34836480.

The previous prime is 162513521. The next prime is 162513541. The reversal of 162513540 is 45315261.

162513540 is a `hidden beast` number, since 1 + 625 + 1 + 35 + 4 + 0 = 666.

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 (162513541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578200 + ... + 578480.

It is an arithmetic number, because the mean of its divisors is an integer number (2155608).

Almost surely, 2^162513540 is an apocalyptic number.

162513540 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 162513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310407552).

162513540 is an abundant number, since it is smaller than the sum of its proper divisors (458301564).

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

162513540 is a wasteful number, since it uses less digits than its factorization.

162513540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 162513540 is about 12748.0798554135. The cubic root of 162513540 is about 545.7115974785.

It can be divided in two parts, 16251 and 3540, that added together give a palindrome (19791).

The spelling of 162513540 in words is "one hundred sixty-two million, five hundred thirteen thousand, five hundred forty".