134711940 has 96 divisors (see below), whose sum is σ = 413320320. Its totient is φ = 32512000.

The previous prime is 134711923. The next prime is 134711953. The reversal of 134711940 is 49117431.

It is a super-3 number, since 3×134711940³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134711898 and 134711907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264406 + ... + 264914.

It is an arithmetic number, because the mean of its divisors is an integer number (4305420).

Almost surely, 2^134711940 is an apocalyptic number.

134711940 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 134711940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206660160).

134711940 is an abundant number, since it is smaller than the sum of its proper divisors (278608380).

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

134711940 is a wasteful number, since it uses less digits than its factorization.

134711940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 134711940 is about 11606.5472902151. The cubic root of 134711940 is about 512.6276533096.

The spelling of 134711940 in words is "one hundred thirty-four million, seven hundred eleven thousand, nine hundred forty".