134212532400 has 180 divisors, whose sum is σ = 477115165800. Its totient is φ = 34917043200.

The previous prime is 134212532357. The next prime is 134212532413. The reversal of 134212532400 is 4235212431.

134212532400 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 253 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 307050 + ... + 602249.

It is an arithmetic number, because the mean of its divisors is an integer number (2650639810).

Almost surely, 2^134212532400 is an apocalyptic number.

134212532400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134212532400 is an abundant number, since it is smaller than the sum of its proper divisors (342902633400).

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

134212532400 is a wasteful number, since it uses less digits than its factorization.

134212532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909364 (or 909350 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 134212532400 its reverse (4235212431), we get a palindrome (138447744831).

The spelling of 134212532400 in words is "one hundred thirty-four billion, two hundred twelve million, five hundred thirty-two thousand, four hundred".