135253156320 has 384 divisors, whose sum is σ = 489167078400. Its totient is φ = 34881767424.

The previous prime is 135253156309. The next prime is 135253156327. The reversal of 135253156320 is 23651352531.

135253156320 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 5 + 3 + 15 + 632 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135253156327) 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 63 ways as a sum of consecutive naturals, for example, 19129746 + ... + 19136814.

It is an arithmetic number, because the mean of its divisors is an integer number (1273872600).

Almost surely, 2^135253156320 is an apocalyptic number.

135253156320 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 135253156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244583539200).

135253156320 is an abundant number, since it is smaller than the sum of its proper divisors (353913922080).

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

135253156320 is a wasteful number, since it uses less digits than its factorization.

135253156320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239 (or 7225 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 135253156320 in words is "one hundred thirty-five billion, two hundred fifty-three million, one hundred fifty-six thousand, three hundred twenty".