51156000 has 432 divisors, whose sum is σ = 218476440. Its totient is φ = 11289600.

The previous prime is 51155969. The next prime is 51156011. The reversal of 51156000 is 65115.

51156000 is a `hidden beast` number, since 51 + 15 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15586704 + 35569296 = 3948^2 + 5964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1763986 + ... + 1764014.

Almost surely, 2^51156000 is an apocalyptic number.

51156000 is a gapful number since it is divisible by the number (50) 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 51156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109238220).

51156000 is an abundant number, since it is smaller than the sum of its proper divisors (167320440).

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

51156000 is a wasteful number, since it uses less digits than its factorization.

51156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 51156000 is about 7152.3422736891. The cubic root of 51156000 is about 371.2207064599.

The spelling of 51156000 in words is "fifty-one million, one hundred fifty-six thousand".