134124192000 has 864 divisors, whose sum is σ = 514672005120. Its totient is φ = 33443020800.

The previous prime is 134124191989. The next prime is 134124192023. The reversal of 134124192000 is 291421431.

It is a happy number.

134124192000 is a `hidden beast` number, since 1 + 3 + 41 + 2 + 419 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 694943904 + ... + 694944096.

Almost surely, 2^134124192000 is an apocalyptic number.

134124192000 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 134124192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257336002560).

134124192000 is an abundant number, since it is smaller than the sum of its proper divisors (380547813120).

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

134124192000 is a wasteful number, since it uses less digits than its factorization.

134124192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 134124192000 in words is "one hundred thirty-four billion, one hundred twenty-four million, one hundred ninety-two thousand".