134466074870400 has 6144 divisors, whose sum is σ = 650491699200000. Its totient is φ = 27258152140800.

The previous prime is 134466074870389. The next prime is 134466074870419. The reversal of 134466074870400 is 4078470664431.

134466074870400 is a `hidden beast` number, since 1 + 3 + 4 + 46 + 60 + 74 + 8 + 70 + 400 = 666.

It is a super-2 number, since 2×134466074870400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 967381833531 + ... + 967381833669.

It is an arithmetic number, because the mean of its divisors is an integer number (105874300000).

Almost surely, 2^{134466074870400} is an apocalyptic number.

134466074870400 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 134466074870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325245849600000).

134466074870400 is an abundant number, since it is smaller than the sum of its proper divisors (516025624329600).

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

134466074870400 is an equidigital number, since it uses as much as digits as its factorization.

134466074870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 134466074870400 in words is "one hundred thirty-four trillion, four hundred sixty-six billion, seventy-four million, eight hundred seventy thousand, four hundred".