134920948800 has 672 divisors, whose sum is σ = 517745862144. Its totient is φ = 30396416000.

The previous prime is 134920948793. The next prime is 134920948843. The reversal of 134920948800 is 8849029431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134920948800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74499895 + ... + 74501705.

It is an arithmetic number, because the mean of its divisors is an integer number (770455152).

Almost surely, 2^134920948800 is an apocalyptic number.

134920948800 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 134920948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258872931072).

134920948800 is an abundant number, since it is smaller than the sum of its proper divisors (382824913344).

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

134920948800 is a wasteful number, since it uses less digits than its factorization.

134920948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 134920948800 in words is "one hundred thirty-four billion, nine hundred twenty million, nine hundred forty-eight thousand, eight hundred".