134144640 has 256 divisors, whose sum is σ = 543456000. Its totient is φ = 30633984.

The previous prime is 134144609. The next prime is 134144641. The reversal of 134144640 is 46441431.

134144640 is a `hidden beast` number, since 1 + 3 + 4 + 14 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134144641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120406 + ... + 121514.

It is an arithmetic number, because the mean of its divisors is an integer number (2122875).

Almost surely, 2^134144640 is an apocalyptic number.

134144640 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 134144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271728000).

134144640 is an abundant number, since it is smaller than the sum of its proper divisors (409311360).

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

134144640 is a wasteful number, since it uses less digits than its factorization.

134144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134144640 is about 11582.0827142617. The cubic root of 134144640 is about 511.9070469276.

The spelling of 134144640 in words is "one hundred thirty-four million, one hundred forty-four thousand, six hundred forty".