135257724 has 72 divisors (see below), whose sum is σ = 396626048. Its totient is φ = 38063520.

The previous prime is 135257719. The next prime is 135257741. The reversal of 135257724 is 427752531.

135257724 is a `hidden beast` number, since 13 + 52 + 577 + 24 = 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 23 ways as a sum of consecutive naturals, for example, 12879 + ... + 20889.

Almost surely, 2^135257724 is an apocalyptic number.

135257724 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 135257724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198313024).

135257724 is an abundant number, since it is smaller than the sum of its proper divisors (261368324).

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

135257724 is a wasteful number, since it uses less digits than its factorization.

135257724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095 (or 8090 counting only the distinct ones).

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

The square root of 135257724 is about 11630.0354255694. The cubic root of 135257724 is about 513.3190222955.

It can be divided in two parts, 135257 and 724, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135257724 in words is "one hundred thirty-five million, two hundred fifty-seven thousand, seven hundred twenty-four".