135711640 has 64 divisors (see below), whose sum is σ = 316884960. Its totient is φ = 52270080.

The previous prime is 135711637. The next prime is 135711673. The reversal of 135711640 is 46117531.

It is a junction number, because it is equal to n+sod(n) for n = 135711599 and 135711608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135622 + ... + 136618.

Almost surely, 2^135711640 is an apocalyptic number.

135711640 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 135711640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158442480).

135711640 is an abundant number, since it is smaller than the sum of its proper divisors (181173320).

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

135711640 is a wasteful number, since it uses less digits than its factorization.

135711640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 135711640 is about 11649.5338962552. The cubic root of 135711640 is about 513.8926027338.

The spelling of 135711640 in words is "one hundred thirty-five million, seven hundred eleven thousand, six hundred forty".