81132148800 has 168 divisors, whose sum is σ = 295756888800. Its totient is φ = 21635228160.

The previous prime is 81132148793. The next prime is 81132148817. The reversal of 81132148800 is 884123118.

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 23 ways as a sum of consecutive naturals, for example, 895830 + ... + 982229.

Almost surely, 2^81132148800 is an apocalyptic number.

81132148800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81132148800 is an abundant number, since it is smaller than the sum of its proper divisors (214624740000).

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

81132148800 is a wasteful number, since it uses less digits than its factorization.

81132148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878090 (or 1878069 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 81132148800 in words is "eighty-one billion, one hundred thirty-two million, one hundred forty-eight thousand, eight hundred".