135577572 has 48 divisors (see below), whose sum is σ = 341595072. Its totient is φ = 41604480.

The previous prime is 135577501. The next prime is 135577573. The reversal of 135577572 is 275775531.

It is a happy number.

135577572 is digitally balanced in base 2, 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 (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (135577573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71922 + ... + 73782.

It is an arithmetic number, because the mean of its divisors is an integer number (7116564).

Almost surely, 2^135577572 is an apocalyptic number.

135577572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135577572 is an abundant number, since it is smaller than the sum of its proper divisors (206017500).

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

135577572 is a wasteful number, since it uses less digits than its factorization.

135577572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2346 counting only the distinct ones).

The product of its digits is 257250, while the sum is 42.

The square root of 135577572 is about 11643.7782527838. The cubic root of 135577572 is about 513.7233240747.

The spelling of 135577572 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, five hundred seventy-two".