134133212400 has 480 divisors, whose sum is σ = 495100311552. Its totient is φ = 30722841600.

The previous prime is 134133212393. The next prime is 134133212413. The reversal of 134133212400 is 4212331431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25196139 + ... + 25201461.

Almost surely, 2^134133212400 is an apocalyptic number.

134133212400 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 134133212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247550155776).

134133212400 is an abundant number, since it is smaller than the sum of its proper divisors (360967099152).

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

134133212400 is a wasteful number, since it uses less digits than its factorization.

134133212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134133212400 its reverse (4212331431), we get a palindrome (138345543831).

The spelling of 134133212400 in words is "one hundred thirty-four billion, one hundred thirty-three million, two hundred twelve thousand, four hundred".