135949320000 has 1120 divisors, whose sum is σ = 562556924160. Its totient is φ = 31933440000.

The previous prime is 135949319969. The next prime is 135949320071. The reversal of 135949320000 is 23949531.

It is a happy number.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 322919790 + ... + 322920210.

It is an arithmetic number, because the mean of its divisors is an integer number (502282968).

Almost surely, 2^135949320000 is an apocalyptic number.

135949320000 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 135949320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281278462080).

135949320000 is an abundant number, since it is smaller than the sum of its proper divisors (426607604160).

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

135949320000 is a wasteful number, since it uses less digits than its factorization.

135949320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 135949320000 in words is "one hundred thirty-five billion, nine hundred forty-nine million, three hundred twenty thousand".