134215541200 has 180 divisors, whose sum is σ = 349773217248. Its totient is φ = 49470220800.

The previous prime is 134215541189. The next prime is 134215541209. The reversal of 134215541200 is 2145512431.

It is a super-2 number, since 2×134215541200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134215541209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49143835 + ... + 49146565.

Almost surely, 2^134215541200 is an apocalyptic number.

134215541200 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 134215541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174886608624).

134215541200 is an abundant number, since it is smaller than the sum of its proper divisors (215557676048).

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

134215541200 is a wasteful number, since it uses less digits than its factorization.

134215541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 134215541200 in words is "one hundred thirty-four billion, two hundred fifteen million, five hundred forty-one thousand, two hundred".