135416832 has 88 divisors (see below), whose sum is σ = 382314096. Its totient is φ = 42467328.

The previous prime is 135416797. The next prime is 135416833. The reversal of 135416832 is 238614531.

It is a junction number, because it is equal to n+sod(n) for n = 135416793 and 135416802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135416833) 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, 50928 + ... + 53520.

Almost surely, 2^135416832 is an apocalyptic number.

135416832 is a gapful number since it is divisible by the number (12) 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 135416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191157048).

135416832 is an abundant number, since it is smaller than the sum of its proper divisors (246897264).

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

135416832 is a wasteful number, since it uses less digits than its factorization.

135416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2615 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 135416832 is about 11636.8738069982. The cubic root of 135416832 is about 513.5202213018.

The spelling of 135416832 in words is "one hundred thirty-five million, four hundred sixteen thousand, eight hundred thirty-two".