851292144 has 30 divisors (see below), whose sum is σ = 2382436056. Its totient is φ = 283764000.

The previous prime is 851292139. The next prime is 851292161. The reversal of 851292144 is 441292158.

It is a super-2 number, since 2×851292144² = 1449396628872233472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 851292099 and 851292108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2955732 + ... + 2956019.

Almost surely, 2^851292144 is an apocalyptic number.

It is an amenable number.

851292144 is an abundant number, since it is smaller than the sum of its proper divisors (1531143912).

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

851292144 is a wasteful number, since it uses less digits than its factorization.

851292144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911765 (or 5911756 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 851292144 is about 29176.9111456302. The cubic root of 851292144 is about 947.7479968956.

It can be divided in two parts, 851 and 292144, that added together give a triangular number (292995 = T₇₆₅).

The spelling of 851292144 in words is "eight hundred fifty-one million, two hundred ninety-two thousand, one hundred forty-four".