134747020800 has 1440 divisors, whose sum is σ = 588567909600. Its totient is φ = 30098718720.

The previous prime is 134747020787. The next prime is 134747020843. The reversal of 134747020800 is 8020747431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×134747020800² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1236211146 + ... + 1236211254.

It is an arithmetic number, because the mean of its divisors is an integer number (408727715).

Almost surely, 2^134747020800 is an apocalyptic number.

134747020800 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 134747020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294283954800).

134747020800 is an abundant number, since it is smaller than the sum of its proper divisors (453820888800).

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

134747020800 is a wasteful number, since it uses less digits than its factorization.

134747020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 134747020800 in words is "one hundred thirty-four billion, seven hundred forty-seven million, twenty thousand, eight hundred".