135477760 has 160 divisors (see below), whose sum is σ = 376529472. Its totient is φ = 46202880.

The previous prime is 135477731. The next prime is 135477787. The reversal of 135477760 is 67774531.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 478579 + ... + 478861.

Almost surely, 2^135477760 is an apocalyptic number.

135477760 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 135477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188264736).

135477760 is an abundant number, since it is smaller than the sum of its proper divisors (241051712).

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

135477760 is a wasteful number, since it uses less digits than its factorization.

135477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 135477760 is about 11639.4913978232. The cubic root of 135477760 is about 513.5972256848.

The spelling of 135477760 in words is "one hundred thirty-five million, four hundred seventy-seven thousand, seven hundred sixty".