134968320 has 264 divisors, whose sum is σ = 488577960. Its totient is φ = 34406400.

The previous prime is 134968303. The next prime is 134968331. The reversal of 134968320 is 23869431.

It can be written as a sum of positive squares in 4 ways, for example, as 46457856 + 88510464 = 6816^2 + 9408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336270 + ... + 1336370.

Almost surely, 2^134968320 is an apocalyptic number.

134968320 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 134968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244288980).

134968320 is an abundant number, since it is smaller than the sum of its proper divisors (353609640).

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

134968320 is a wasteful number, since it uses less digits than its factorization.

134968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 134968320 is about 11617.5866684953. The cubic root of 134968320 is about 512.9526534282.

The spelling of 134968320 in words is "one hundred thirty-four million, nine hundred sixty-eight thousand, three hundred twenty".