134976240 has 320 divisors, whose sum is σ = 542822400. Its totient is φ = 30191616.

The previous prime is 134976239. The next prime is 134976271. The reversal of 134976240 is 42679431.

134976240 is a `hidden beast` number, since 1 + 349 + 76 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134976195 and 134976204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1194424 + ... + 1194536.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 2^134976240 is an apocalyptic number.

134976240 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 134976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271411200).

134976240 is an abundant number, since it is smaller than the sum of its proper divisors (407846160).

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

134976240 is a wasteful number, since it uses less digits than its factorization.

134976240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 134976240 is about 11617.9275260263. The cubic root of 134976240 is about 512.9626866606.

The spelling of 134976240 in words is "one hundred thirty-four million, nine hundred seventy-six thousand, two hundred forty".