134742081600 has 1512 divisors, whose sum is σ = 604934853120. Its totient is φ = 28251095040.

The previous prime is 134742081569. The next prime is 134742081659. The reversal of 134742081600 is 6180247431.

134742081600 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 42 + 0 + 8 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 563774281 + ... + 563774519.

Almost surely, 2^134742081600 is an apocalyptic number.

134742081600 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 134742081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302467426560).

134742081600 is an abundant number, since it is smaller than the sum of its proper divisors (470192771520).

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

134742081600 is a wasteful number, since it uses less digits than its factorization.

134742081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 134742081600 in words is "one hundred thirty-four billion, seven hundred forty-two million, eighty-one thousand, six hundred".