135687552 has 256 divisors, whose sum is σ = 485291520. Its totient is φ = 32440320.

The previous prime is 135687499. The next prime is 135687571. The reversal of 135687552 is 255786531.

It is a super-2 number, since 2×135687552² = 36822223535505408, which contains 22 as substring.

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

It is a congruent number.

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, 384208 + ... + 384560.

It is an arithmetic number, because the mean of its divisors is an integer number (1895670).

Almost surely, 2^135687552 is an apocalyptic number.

135687552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 11648×11649.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242645760).

135687552 is an abundant number, since it is smaller than the sum of its proper divisors (349603968).

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

135687552 is a wasteful number, since it uses less digits than its factorization.

135687552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The square root of 135687552 is about 11648.4999892690. The cubic root of 135687552 is about 513.8621966525.

The spelling of 135687552 in words is "one hundred thirty-five million, six hundred eighty-seven thousand, five hundred fifty-two".