51187136 has 224 divisors, whose sum is σ = 147474432. Its totient is φ = 16957440.

The previous prime is 51187127. The next prime is 51187139. The reversal of 51187136 is 63178115.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51187139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089065 + ... + 1089111.

It is an arithmetic number, because the mean of its divisors is an integer number (658368).

Almost surely, 2^51187136 is an apocalyptic number.

51187136 is a gapful number since it is divisible by the number (56) 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 51187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

51187136 is an abundant number, since it is smaller than the sum of its proper divisors (96287296).

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

51187136 is a wasteful number, since it uses less digits than its factorization.

51187136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its digits is 5040, while the sum is 32.

The square root of 51187136 is about 7154.5185722032. The cubic root of 51187136 is about 371.2960054390.

The spelling of 51187136 in words is "fifty-one million, one hundred eighty-seven thousand, one hundred thirty-six".