134531992800 has 972 divisors, whose sum is σ = 527228583336. Its totient is φ = 33508339200.

The previous prime is 134531992747. The next prime is 134531992801. The reversal of 134531992800 is 8299135431.

It is a happy number.

134531992800 is a `hidden beast` number, since 1 + 3 + 4 + 531 + 99 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134531992801) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1894816765 + ... + 1894816835.

It is an arithmetic number, because the mean of its divisors is an integer number (542416238).

Almost surely, 2^134531992800 is an apocalyptic number.

134531992800 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 134531992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263614291668).

134531992800 is an abundant number, since it is smaller than the sum of its proper divisors (392696590536).

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

134531992800 is an frugal number, since it uses more digits than its factorization.

134531992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 134531992800 in words is "one hundred thirty-four billion, five hundred thirty-one million, nine hundred ninety-two thousand, eight hundred".