61532136 has 80 divisors (see below), whose sum is σ = 173477700. Its totient is φ = 20376576.

The previous prime is 61532131. The next prime is 61532143. The reversal of 61532136 is 63123516.

61532136 is a `hidden beast` number, since 615 + 32 + 13 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55800900 + 5731236 = 7470^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61532131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174136 + ... + 174488.

Almost surely, 2^61532136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61532136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86738850).

61532136 is an abundant number, since it is smaller than the sum of its proper divisors (111945564).

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

61532136 is a wasteful number, since it uses less digits than its factorization.

61532136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 61532136 is about 7844.2422196156. The cubic root of 61532136 is about 394.7910789644.

The spelling of 61532136 in words is "sixty-one million, five hundred thirty-two thousand, one hundred thirty-six".