134531501400 has 192 divisors, whose sum is σ = 463594435200. Its totient is φ = 35858954880.

The previous prime is 134531501383. The next prime is 134531501431. The reversal of 134531501400 is 4105135431.

It is a happy number.

134531501400 is a `hidden beast` number, since 1 + 345 + 315 + 0 + 1 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16557739 + ... + 16565861.

It is an arithmetic number, because the mean of its divisors is an integer number (2414554350).

Almost surely, 2^134531501400 is an apocalyptic number.

134531501400 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 134531501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231797217600).

134531501400 is an abundant number, since it is smaller than the sum of its proper divisors (329062933800).

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

134531501400 is a wasteful number, since it uses less digits than its factorization.

134531501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215 (or 11200 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 134531501400 its reverse (4105135431), we get a palindrome (138636636831).

The spelling of 134531501400 in words is "one hundred thirty-four billion, five hundred thirty-one million, five hundred one thousand, four hundred".