135013632 has 72 divisors (see below), whose sum is σ = 387002784. Its totient is φ = 41539584.

The previous prime is 135013603. The next prime is 135013633. The reversal of 135013632 is 236310531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135013633) 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, 3223 + ... + 16745.

Almost surely, 2^135013632 is an apocalyptic number.

135013632 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 135013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193501392).

135013632 is an abundant number, since it is smaller than the sum of its proper divisors (251989152).

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

135013632 is a wasteful number, since it uses less digits than its factorization.

135013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13555 (or 13541 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 135013632 is about 11619.5366516914. The cubic root of 135013632 is about 513.0100503790.

The spelling of 135013632 in words is "one hundred thirty-five million, thirteen thousand, six hundred thirty-two".