135508464 has 240 divisors, whose sum is σ = 485302272. Its totient is φ = 35645184.

The previous prime is 135508447. The next prime is 135508487. The reversal of 135508464 is 464805531.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 353617 + ... + 353999.

Almost surely, 2^135508464 is an apocalyptic number.

135508464 is a gapful number since it is divisible by the number (14) 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 135508464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242651136).

135508464 is an abundant number, since it is smaller than the sum of its proper divisors (349793808).

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

135508464 is a wasteful number, since it uses less digits than its factorization.

135508464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 135508464 is about 11640.8102810758. The cubic root of 135508464 is about 513.6360224538.

The spelling of 135508464 in words is "one hundred thirty-five million, five hundred eight thousand, four hundred sixty-four".