82147136400 has 180 divisors, whose sum is σ = 325798250752. Its totient is φ = 18776482560.

The previous prime is 82147136389. The next prime is 82147136431. The reversal of 82147136400 is 463174128.

82147136400 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 7 + 1 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1604704 + ... + 1655103.

Almost surely, 2^82147136400 is an apocalyptic number.

82147136400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82147136400 is an abundant number, since it is smaller than the sum of its proper divisors (243651114352).

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

82147136400 is a wasteful number, since it uses less digits than its factorization.

82147136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259838 (or 3259824 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 82147136400 in words is "eighty-two billion, one hundred forty-seven million, one hundred thirty-six thousand, four hundred".