8135850240 has 864 divisors, whose sum is σ = 34437312000. Its totient is φ = 1770209280.

The previous prime is 8135850227. The next prime is 8135850257. The reversal of 8135850240 is 420585318.

It is a happy number.

8135850240 is a `hidden beast` number, since 81 + 35 + 8 + 502 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 8135850195 and 8135850204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114589405 + ... + 114589475.

It is an arithmetic number, because the mean of its divisors is an integer number (39858000).

Almost surely, 2^8135850240 is an apocalyptic number.

8135850240 is a gapful number since it is divisible by the number (80) 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 8135850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218656000).

8135850240 is an abundant number, since it is smaller than the sum of its proper divisors (26301461760).

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

8135850240 is a wasteful number, since it uses less digits than its factorization.

8135850240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

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

The square root of 8135850240 is about 90198.9481091659. The cubic root of 8135850240 is about 2011.2573702551.

The spelling of 8135850240 in words is "eight billion, one hundred thirty-five million, eight hundred fifty thousand, two hundred forty".