134167973940 has 1344 divisors, whose sum is σ = 588595714560. Its totient is φ = 24768737280.

The previous prime is 134167973897. The next prime is 134167973957. The reversal of 134167973940 is 49379761431.

134167973940 is a `hidden beast` number, since 1 + 3 + 4 + 167 + 97 + 394 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 423242662 + ... + 423242978.

It is an arithmetic number, because the mean of its divisors is an integer number (437943240).

Almost surely, 2^134167973940 is an apocalyptic number.

134167973940 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 134167973940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294297857280).

134167973940 is an abundant number, since it is smaller than the sum of its proper divisors (454427740620).

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

134167973940 is a wasteful number, since it uses less digits than its factorization.

134167973940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 134167973940 in words is "one hundred thirty-four billion, one hundred sixty-seven million, nine hundred seventy-three thousand, nine hundred forty".