135377136 has 40 divisors (see below), whose sum is σ = 388583760. Its totient is φ = 45125568.

The previous prime is 135377131. The next prime is 135377183. The reversal of 135377136 is 631773531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135377136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135377131) 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, 156255 + ... + 157118.

It is an arithmetic number, because the mean of its divisors is an integer number (9714594).

Almost surely, 2^135377136 is an apocalyptic number.

135377136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135377136 is an abundant number, since it is smaller than the sum of its proper divisors (253206624).

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

135377136 is a wasteful number, since it uses less digits than its factorization.

135377136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313390 (or 313378 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 135377136 is about 11635.1680692631. The cubic root of 135377136 is about 513.4700387394.

The spelling of 135377136 in words is "one hundred thirty-five million, three hundred seventy-seven thousand, one hundred thirty-six".