135029462400 has 672 divisors, whose sum is σ = 571633316400. Its totient is φ = 30860144640.

The previous prime is 135029462357. The next prime is 135029462467. The reversal of 135029462400 is 4264920531.

It is a happy number.

135029462400 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 29 + 4 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16325466 + ... + 16333734.

Almost surely, 2^135029462400 is an apocalyptic number.

135029462400 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 135029462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285816658200).

135029462400 is an abundant number, since it is smaller than the sum of its proper divisors (436603854000).

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

135029462400 is an frugal number, since it uses more digits than its factorization.

135029462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 135029462400 in words is "one hundred thirty-five billion, twenty-nine million, four hundred sixty-two thousand, four hundred".