134947400940 has 144 divisors (see below), whose sum is σ = 449135590176. Its totient is φ = 32525337600.

The previous prime is 134947400933. The next prime is 134947400999. The reversal of 134947400940 is 49004749431.

134947400940 is a `hidden beast` number, since 1 + 3 + 494 + 74 + 0 + 0 + 94 + 0 = 666.

It is a super-2 number, since 2×134947400940² (a number of 23 digits) 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 47 ways as a sum of consecutive naturals, for example, 145560 + ... + 539520.

It is an arithmetic number, because the mean of its divisors is an integer number (3118997154).

Almost surely, 2^134947400940 is an apocalyptic number.

134947400940 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 134947400940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224567795088).

134947400940 is an abundant number, since it is smaller than the sum of its proper divisors (314188189236).

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

134947400940 is a wasteful number, since it uses less digits than its factorization.

134947400940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394160 (or 394155 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 134947400940 in words is "one hundred thirty-four billion, nine hundred forty-seven million, four hundred thousand, nine hundred forty".