134961691200 has 336 divisors, whose sum is σ = 513603508224. Its totient is φ = 30387456000.

The previous prime is 134961691141. The next prime is 134961691217. The reversal of 134961691200 is 2196169431.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2221225 + ... + 2281175.

Almost surely, 2^134961691200 is an apocalyptic number.

134961691200 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 134961691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256801754112).

134961691200 is an abundant number, since it is smaller than the sum of its proper divisors (378641817024).

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

134961691200 is a wasteful number, since it uses less digits than its factorization.

134961691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60050 (or 60035 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 134961691200 in words is "one hundred thirty-four billion, nine hundred sixty-one million, six hundred ninety-one thousand, two hundred".