135537456 has 80 divisors (see below), whose sum is σ = 366325760. Its totient is φ = 43130880.

The previous prime is 135537443. The next prime is 135537461. The reversal of 135537456 is 654735531.

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, 116976 + ... + 118128.

It is an arithmetic number, because the mean of its divisors is an integer number (4579072).

Almost surely, 2^135537456 is an apocalyptic number.

135537456 is a gapful number since it is divisible by the number (16) 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 135537456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183162880).

135537456 is an abundant number, since it is smaller than the sum of its proper divisors (230788304).

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

135537456 is a wasteful number, since it uses less digits than its factorization.

135537456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its digits is 189000, while the sum is 39.

The square root of 135537456 is about 11642.0554886154. The cubic root of 135537456 is about 513.6726506054.

The spelling of 135537456 in words is "one hundred thirty-five million, five hundred thirty-seven thousand, four hundred fifty-six".