140716536100 has 288 divisors, whose sum is σ = 383735439360. Its totient is φ = 43676928000.

The previous prime is 140716536089. The next prime is 140716536161. The reversal of 140716536100 is 1635617041.

It is a super-2 number, since 2×140716536100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66032035 + ... + 66034165.

It is an arithmetic number, because the mean of its divisors is an integer number (1332414720).

Almost surely, 2^140716536100 is an apocalyptic number.

140716536100 is a gapful number since it is divisible by the number (10) 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 140716536100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191867719680).

140716536100 is an abundant number, since it is smaller than the sum of its proper divisors (243018903260).

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

140716536100 is a wasteful number, since it uses less digits than its factorization.

140716536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 140716536100 in words is "one hundred forty billion, seven hundred sixteen million, five hundred thirty-six thousand, one hundred".