972782324136 has 128 divisors (see below), whose sum is σ = 3088685952000. Its totient is φ = 277893878976.

The previous prime is 972782324057. The next prime is 972782324153. The reversal of 972782324136 is 631423287279.

It is a happy number.

972782324136 is a `hidden beast` number, since 9 + 7 + 278 + 232 + 4 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 10202395 + ... + 10297301.

It is an arithmetic number, because the mean of its divisors is an integer number (24130359000).

Almost surely, 2^972782324136 is an apocalyptic number.

It is an amenable number.

972782324136 is an abundant number, since it is smaller than the sum of its proper divisors (2115903627864).

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

972782324136 is a wasteful number, since it uses less digits than its factorization.

972782324136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101708 (or 101698 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 972782324136 in words is "nine hundred seventy-two billion, seven hundred eighty-two million, three hundred twenty-four thousand, one hundred thirty-six".