134207948232000 has 1344 divisors, whose sum is σ = 509287360757760. Its totient is φ = 33666006528000.

The previous prime is 134207948231993. The next prime is 134207948232011. The reversal of 134207948232000 is 232849702431.

134207948232000 is a `hidden beast` number, since 1 + 34 + 207 + 94 + 8 + 2 + 320 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56318902809 + ... + 56318905191.

Almost surely, 2^{134207948232000} is an apocalyptic number.

134207948232000 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 134207948232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254643680378880).

134207948232000 is an abundant number, since it is smaller than the sum of its proper divisors (375079412525760).

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

134207948232000 is a wasteful number, since it uses less digits than its factorization.

134207948232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 134207948232000 in words is "one hundred thirty-four trillion, two hundred seven billion, nine hundred forty-eight million, two hundred thirty-two thousand".