135477504 has 108 divisors (see below), whose sum is σ = 394541056. Its totient is φ = 44706816.

The previous prime is 135477499. The next prime is 135477541. The reversal of 135477504 is 405774531.

It is a happy number.

135477504 is a `hidden beast` number, since 135 + 477 + 50 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292377 + ... + 292839.

Almost surely, 2^135477504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135477504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197270528).

135477504 is an abundant number, since it is smaller than the sum of its proper divisors (259063552).

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

135477504 is a wasteful number, since it uses less digits than its factorization.

135477504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 135477504 is about 11639.4804007739. The cubic root of 135477504 is about 513.5969021853.

It can be divided in two parts, 135477 and 504, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135477504 in words is "one hundred thirty-five million, four hundred seventy-seven thousand, five hundred four".