1225138176 has 224 divisors, whose sum is σ = 3774643200. Its totient is φ = 392232960.

The previous prime is 1225138151. The next prime is 1225138193. The reversal of 1225138176 is 6718315221.

1225138176 is a `hidden beast` number, since 122 + 513 + 8 + 17 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1225138176.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414241 + ... + 6414431.

Almost surely, 2^1225138176 is an apocalyptic number.

1225138176 is a gapful number since it is divisible by the number (16) 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 1225138176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887321600).

1225138176 is an abundant number, since it is smaller than the sum of its proper divisors (2549505024).

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

1225138176 is an equidigital number, since it uses as much as digits as its factorization.

1225138176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1225138176 is about 35001.9738871967. The cubic root of 1225138176 is about 1070.0277094172.

The spelling of 1225138176 in words is "one billion, two hundred twenty-five million, one hundred thirty-eight thousand, one hundred seventy-six".