135537864 has 128 divisors (see below), whose sum is σ = 428820480. Its totient is φ = 34675200.

The previous prime is 135537847. The next prime is 135537893. The reversal of 135537864 is 468735531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130692 + ... + 131724.

It is an arithmetic number, because the mean of its divisors is an integer number (3350160).

Almost surely, 2^135537864 is an apocalyptic number.

135537864 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 135537864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214410240).

135537864 is an abundant number, since it is smaller than the sum of its proper divisors (293282616).

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

135537864 is a wasteful number, since it uses less digits than its factorization.

135537864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1127 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 135537864 is about 11642.0730112811. The cubic root of 135537864 is about 513.6731660305.

The spelling of 135537864 in words is "one hundred thirty-five million, five hundred thirty-seven thousand, eight hundred sixty-four".