134731760800 has 288 divisors, whose sum is σ = 408555100800. Its totient is φ = 42246696960.

The previous prime is 134731760767. The next prime is 134731760819. The reversal of 134731760800 is 8067137431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7926711 + ... + 7943689.

It is an arithmetic number, because the mean of its divisors is an integer number (1418594100).

Almost surely, 2^134731760800 is an apocalyptic number.

134731760800 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 134731760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204277550400).

134731760800 is an abundant number, since it is smaller than the sum of its proper divisors (273823340000).

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

134731760800 is a wasteful number, since it uses less digits than its factorization.

134731760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17128 (or 17115 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 134731760800 in words is "one hundred thirty-four billion, seven hundred thirty-one million, seven hundred sixty thousand, eight hundred".