134994470400 has 1680 divisors, whose sum is σ = 569016464544. Its totient is φ = 31531991040.

The previous prime is 134994470381. The next prime is 134994470407. The reversal of 134994470400 is 4074499431.

134994470400 is a `hidden beast` number, since 13 + 49 + 94 + 470 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134994470407) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3648499182 + ... + 3648499218.

Almost surely, 2^134994470400 is an apocalyptic number.

134994470400 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 134994470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284508232272).

134994470400 is an abundant number, since it is smaller than the sum of its proper divisors (434021994144).

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

134994470400 is an equidigital number, since it uses as much as digits as its factorization.

134994470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 134994470400 in words is "one hundred thirty-four billion, nine hundred ninety-four million, four hundred seventy thousand, four hundred".