8137260432 has 320 divisors, whose sum is σ = 28026142720. Its totient is φ = 2211494400.

The previous prime is 8137260431. The next prime is 8137260437. The reversal of 8137260432 is 2340627318.

It is a happy number.

8137260432 is a `hidden beast` number, since 8 + 13 + 7 + 2 + 604 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8137260431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5717673 + ... + 5719095.

It is an arithmetic number, because the mean of its divisors is an integer number (87581696).

Almost surely, 2^8137260432 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 8137260432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013071360).

8137260432 is an abundant number, since it is smaller than the sum of its proper divisors (19888882288).

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

8137260432 is a wasteful number, since it uses less digits than its factorization.

8137260432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 8137260432 is about 90206.7648904449. The cubic root of 8137260432 is about 2011.3735677069.

The spelling of 8137260432 in words is "eight billion, one hundred thirty-seven million, two hundred sixty thousand, four hundred thirty-two".