134313379200 has 1536 divisors, whose sum is σ = 660407731200. Its totient is φ = 25745817600.

The previous prime is 134313379171. The next prime is 134313379241. The reversal of 134313379200 is 2973313431.

It is a happy number.

134313379200 is a `hidden beast` number, since 13 + 431 + 3 + 3 + 7 + 9 + 200 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 86485624 + ... + 86487176.

It is an arithmetic number, because the mean of its divisors is an integer number (429952950).

Almost surely, 2^134313379200 is an apocalyptic number.

134313379200 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 134313379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330203865600).

134313379200 is an abundant number, since it is smaller than the sum of its proper divisors (526094352000).

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

134313379200 is a wasteful number, since it uses less digits than its factorization.

134313379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 134313379200 in words is "one hundred thirty-four billion, three hundred thirteen million, three hundred seventy-nine thousand, two hundred".