134303476896 has 240 divisors, whose sum is σ = 407123085600. Its totient is φ = 43407124992.

The previous prime is 134303476889. The next prime is 134303476907. The reversal of 134303476896 is 698674303431.

It is a happy number.

134303476896 is a `hidden beast` number, since 134 + 30 + 3 + 476 + 8 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15488050 + ... + 15496718.

It is an arithmetic number, because the mean of its divisors is an integer number (1696346190).

Almost surely, 2^134303476896 is an apocalyptic number.

134303476896 is a gapful number since it is divisible by the number (16) 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 134303476896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203561542800).

134303476896 is an abundant number, since it is smaller than the sum of its proper divisors (272819608704).

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

134303476896 is a wasteful number, since it uses less digits than its factorization.

134303476896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8856 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 134303476896 in words is "one hundred thirty-four billion, three hundred three million, four hundred seventy-six thousand, eight hundred ninety-six".