134195097600 has 468 divisors, whose sum is σ = 498552554136. Its totient is φ = 35778723840.

The previous prime is 134195097583. The next prime is 134195097629. The reversal of 134195097600 is 6790591431.

134195097600 is a `hidden beast` number, since 1 + 34 + 1 + 9 + 5 + 0 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 24880504 + ... + 24885896.

Almost surely, 2^134195097600 is an apocalyptic number.

134195097600 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 134195097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249276277068).

134195097600 is an abundant number, since it is smaller than the sum of its proper divisors (364357456536).

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

134195097600 is an frugal number, since it uses more digits than its factorization.

134195097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 134195097600 in words is "one hundred thirty-four billion, one hundred ninety-five million, ninety-seven thousand, six hundred".