136705536 has 320 divisors, whose sum is σ = 471398400. Its totient is φ = 38707200.

The previous prime is 136705523. The next prime is 136705549. The reversal of 136705536 is 635507631.

It is a happy number.

136705536 is a `hidden beast` number, since 1 + 36 + 70 + 553 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (136705523) and next prime (136705549).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136705536.

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, 4409841 + ... + 4409871.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^136705536 is an apocalyptic number.

136705536 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 136705536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

136705536 is an abundant number, since it is smaller than the sum of its proper divisors (334692864).

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

136705536 is a wasteful number, since it uses less digits than its factorization.

136705536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 136705536 is about 11692.1142656065. The cubic root of 136705536 is about 515.1440650152.

The spelling of 136705536 in words is "one hundred thirty-six million, seven hundred five thousand, five hundred thirty-six".