135420736 has 56 divisors (see below), whose sum is σ = 295351200. Its totient is φ = 61094400.

The previous prime is 135420731. The next prime is 135420739. The reversal of 135420736 is 637024531.

135420736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 135420698 and 135420707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135420731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104251 + ... + 105541.

Almost surely, 2^135420736 is an apocalyptic number.

135420736 is a gapful number since it is divisible by the number (16) 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 135420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147675600).

135420736 is an abundant number, since it is smaller than the sum of its proper divisors (159930464).

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

135420736 is a wasteful number, since it uses less digits than its factorization.

135420736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 135420736 is about 11637.0415484349. The cubic root of 135420736 is about 513.5251560987.

The spelling of 135420736 in words is "one hundred thirty-five million, four hundred twenty thousand, seven hundred thirty-six".