134188992 has 168 divisors, whose sum is σ = 459004416. Its totient is φ = 36647424.

The previous prime is 134188979. The next prime is 134189017. The reversal of 134188992 is 299881431.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92013 + ... + 93459.

Almost surely, 2^134188992 is an apocalyptic number.

134188992 is a gapful number since it is divisible by the number (12) 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 134188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229502208).

134188992 is an abundant number, since it is smaller than the sum of its proper divisors (324815424).

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

134188992 is a wasteful number, since it uses less digits than its factorization.

134188992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 134188992 is about 11583.9972375687. The cubic root of 134188992 is about 511.9634576784.

The spelling of 134188992 in words is "one hundred thirty-four million, one hundred eighty-eight thousand, nine hundred ninety-two".