135001524 has 48 divisors (see below), whose sum is σ = 361668608. Its totient is φ = 38393568.

The previous prime is 135001507. The next prime is 135001541. The reversal of 135001524 is 425100531.

135001524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135001507) and next prime (135001541).

It is a super-2 number, since 2×135001524² = 36450822964645152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 135001524.

It is a congruent number.

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, 15129 + ... + 22335.

Almost surely, 2^135001524 is an apocalyptic number.

135001524 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 135001524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180834304).

135001524 is an abundant number, since it is smaller than the sum of its proper divisors (226667084).

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

135001524 is a wasteful number, since it uses less digits than its factorization.

135001524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7444 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 135001524 is about 11619.0156209552. The cubic root of 135001524 is about 512.9947143686.

The spelling of 135001524 in words is "one hundred thirty-five million, one thousand, five hundred twenty-four".