134688960 has 448 divisors, whose sum is σ = 579363840. Its totient is φ = 28753920.

The previous prime is 134688949. The next prime is 134688979. The reversal of 134688960 is 69886431.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×134688960² = 36282231891763200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028095 + ... + 1028225.

Almost surely, 2^134688960 is an apocalyptic number.

134688960 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 134688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289681920).

134688960 is an abundant number, since it is smaller than the sum of its proper divisors (444674880).

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

134688960 is a wasteful number, since it uses less digits than its factorization.

134688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 134688960 is about 11605.5572895057. The cubic root of 134688960 is about 512.5985025815.

The spelling of 134688960 in words is "one hundred thirty-four million, six hundred eighty-eight thousand, nine hundred sixty".