8082153540 has 192 divisors, whose sum is σ = 26382827520. Its totient is φ = 2050139520.

The previous prime is 8082153529. The next prime is 8082153551. The reversal of 8082153540 is 453512808.

It is a happy number.

8082153540 is a `hidden beast` number, since 8 + 0 + 82 + 1 + 535 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (8082153529) and next prime (8082153551).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8082153495 and 8082153504.

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, 2370517 + ... + 2373923.

It is an arithmetic number, because the mean of its divisors is an integer number (137410560).

Almost surely, 2^8082153540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082153540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191413760).

8082153540 is an abundant number, since it is smaller than the sum of its proper divisors (18300673980).

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

8082153540 is a wasteful number, since it uses less digits than its factorization.

8082153540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8082153540 is about 89900.7983279348. The cubic root of 8082153540 is about 2006.8228263860.

The spelling of 8082153540 in words is "eight billion, eighty-two million, one hundred fifty-three thousand, five hundred forty".