134951861600 has 144 divisors (see below), whose sum is σ = 354551432256. Its totient is φ = 49972224000.

The previous prime is 134951861593. The next prime is 134951861633. The reversal of 134951861600 is 6168159431.

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, 748265 + ... + 910935.

It is an arithmetic number, because the mean of its divisors is an integer number (2462162724).

Almost surely, 2^134951861600 is an apocalyptic number.

134951861600 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 134951861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177275716128).

134951861600 is an abundant number, since it is smaller than the sum of its proper divisors (219599570656).

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

134951861600 is a wasteful number, since it uses less digits than its factorization.

134951861600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162769 (or 162756 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 134951861600 in words is "one hundred thirty-four billion, nine hundred fifty-one million, eight hundred sixty-one thousand, six hundred".