812157149250 has 192 divisors, whose sum is σ = 2207761920000. Its totient is φ = 215425996800.

The previous prime is 812157149191. The next prime is 812157149257. The reversal of 812157149250 is 52941751218.

812157149250 is a `hidden beast` number, since 8 + 1 + 2 + 157 + 1 + 492 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 812157149196 and 812157149205.

It is not an unprimeable number, because it can be changed into a prime (812157149257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386924701 + ... + 386926799.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760000).

Almost surely, 2^812157149250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812157149250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960000).

812157149250 is an abundant number, since it is smaller than the sum of its proper divisors (1395604770750).

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

812157149250 is a wasteful number, since it uses less digits than its factorization.

812157149250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 812157149250 in words is "eight hundred twelve billion, one hundred fifty-seven million, one hundred forty-nine thousand, two hundred fifty".