135527656040 has 128 divisors (see below), whose sum is σ = 350251776000. Its totient is φ = 46233669888.

The previous prime is 135527656031. The next prime is 135527656091. The reversal of 135527656040 is 40656725531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135527655982 and 135527656000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53377091 + ... + 53379629.

It is an arithmetic number, because the mean of its divisors is an integer number (2736342000).

Almost surely, 2^135527656040 is an apocalyptic number.

135527656040 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 135527656040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175125888000).

135527656040 is an abundant number, since it is smaller than the sum of its proper divisors (214724119960).

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

135527656040 is a wasteful number, since it uses less digits than its factorization.

135527656040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 135527656040 in words is "one hundred thirty-five billion, five hundred twenty-seven million, six hundred fifty-six thousand, forty".