134464000 has 160 divisors (see below), whose sum is σ = 367690752. Its totient is φ = 48640000.

The previous prime is 134463983. The next prime is 134464037. The reversal of 134464000 is 464431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703905 + ... + 704095.

Almost surely, 2^134464000 is an apocalyptic number.

134464000 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 134464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845376).

134464000 is an abundant number, since it is smaller than the sum of its proper divisors (233226752).

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

134464000 is an equidigital number, since it uses as much as digits as its factorization.

134464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 134464000 is about 11595.8613306645. The cubic root of 134464000 is about 512.3129597062.

The spelling of 134464000 in words is "one hundred thirty-four million, four hundred sixty-four thousand".